Multi-Attribute Decision-Making Based on Bonferroni Mean Operators under Cubic Intuitionistic Fuzzy Set Environment

Cubic intuitionistic fuzzy (CIF) set is the hybrid set which can contain much more information to express an interval-valued intuitionistic fuzzy set and an intuitionistic fuzzy set simultaneously for handling the uncertainties in the data. Unfortunately, there has been no research on the aggregation operators on CIF sets so far. Since an aggregation operator is an important mathematical tool in decision-making problems, the present paper proposes some new Bonferroni mean and weighted Bonferroni mean averaging operators between the cubic intuitionistic fuzzy numbers for aggregating the different preferences of the decision-maker. Then, we develop a decision-making method based on the proposed operators under the cubic intuitionistic fuzzy environment and illustrated with a numerical example. Finally, a comparison analysis between the proposed and the existing approaches have been performed to illustrate the applicability and feasibility of the developed decision-making method.

• Publication year

  2018

• Venue

  Entropy

• Publication date

  2018-01-01

• Fields of study

  Mathematics, Computer Science, Medicine

• Identifiers
  DOI 10.3390/e20010065PMID 33265152PMCID 7512265
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar, PubMed

• No claims are published for this paper.

• No concepts are published for this paper.

• On Interval Valued Intuitionistic Fuzzy Sets

  2019influential reference
• Connection number of set pair analysis based TOPSIS method on intuitionistic fuzzy sets and their application to decision making

  2018cited by this paper
• Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making

  2018influential reference
• New exponential operational laws and their aggregation operators for interval‐valued Pythagorean fuzzy multicriteria decision‐making

  2018cited by this paper
• Some methods for strategic decision‐making problems with immediate probabilities in Pythagorean fuzzy environment

  2018cited by this paper
• DISTANCE MEASURES BETWEEN THE COMPLEX INTUITIONISTIC FUZZY SETS AND THEIR APPLICATIONS TO THE DECISION-MAKING PROCESS

  2017cited by this paper
• Novel intuitionistic fuzzy decision making method based on an improved operation laws and its application

  2017cited by this paper
• Some Picture Fuzzy Aggregation Operators and Their Applications to Multicriteria Decision-Making

  2017cited by this paper
• A nonlinear-programming methodology for multi-attribute decision-making problem with interval-valued intuitionistic fuzzy soft sets information

  2017cited by this paper
• A Robust Ranking Method for Intuitionistic Multiplicative Sets Under Crisp, Interval Environments and Its Applications

  2017cited by this paper
• Multiple attribute group decision making based on intuitionistic fuzzy interaction partitioned Bonferroni mean operators

  2017cited by this paper
• Generalized and group-based generalized intuitionistic fuzzy soft sets with applications in decision-making

  2017cited by this paper
• Some series of intuitionistic fuzzy interactive averaging aggregation operators

  2016cited by this paper
• A novel multiple attribute decision making method based on interval-valued intuitionistic fuzzy geometric averaging operators

  2016cited by this paper
• A Novel Correlation Coefficients between Pythagorean Fuzzy Sets and Its Applications to Decision‐Making Processes

  2016cited by this paper
• A new distance measure for interval valued intuitionistic fuzzy sets and its application to group decision making problems with incomplete weights information

  2016cited by this paper
• Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making

  2016cited by this paper
• A New Generalized Pythagorean Fuzzy Information Aggregation Using Einstein Operations and Its Application to Decision Making

  2016cited by this paper
• A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems

  2016cited by this paper
• Multiple attribute group decision making based on interval-valued intuitionistic fuzzy aggregation operators and transformation techniques of interval-valued intuitionistic fuzzy values

  2016cited by this paper
• TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment

  2016cited by this paper
• Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making

  2016cited by this paper
• Generalized intuitionistic fuzzy multiplicative interactive geometric operators and their application to multiple criteria decision making

  2015cited by this paper
• A new method for Atanassov's interval-valued intuitionistic fuzzy MAGDM with incomplete attribute weight information

  2015cited by this paper
• NOTE ON FUZZY SETS

  2014cited by this paper
• Intuitionistic fuzzy prioritized operators and their application in multi-criteria group decision making

  2013cited by this paper
• The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application

  2013cited by this paper
• Interval-valued intuitionistic fuzzy hybrid weighted averaging operator based on Einstein operation and its application to decision making

  2013influential reference
• Intuitionistic Fuzzy Information Aggregation Using Einstein Operations

  2012influential reference
• Generalized intuitionistic fuzzy Bonferroni means

  2012cited by this paper
• Intuitionistic Fuzzy Bonferroni Means

  2011cited by this paper
• A multi-criteria decision making procedure based on interval-valued intuitionistic fuzzy bonferroni means

  2011influential reference
• Power-Geometric Operators and Their Use in Group Decision Making

  2010influential reference
• Generalized Bonferroni mean operators in multi-criteria aggregation

  2010influential reference
• Ranking irregularities when evaluating alternatives by using some ELECTRE methods

  2008influential reference
• Prioritized aggregation operators

  2008influential reference
• Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making

  2007cited by this paper
• Some geometric aggregation operators based on intuitionistic fuzzy sets

  2006influential reference
• Intuitionistic fuzzy sets

  1986cited by this paper
• The concept of a linguistic variable and its application to approximate reasoning - I

  1975cited by this paper
• The concept of a linguistic variable and its application to approximate reasoning - II

  1975cited by this paper
• Sulle medie multiple di potenze

  1950cited by this paper

• Multi-criteria decision-making for hydrogen fuel adoption in transportation using enhanced TOPSIS and novel p,q,r-CQNFS framework

  2026cites this paper
• Fermatean Cubic Fuzzy Score Function in Multi-objective Transportation Problems

  2026cites this paper
• Rough cubic intuitionistic fuzzy soft relation framework for risk identification and hospital selection in breast cancer treatment.

  2026cites this paper
• A novel intuitionistic fuzzy Yager aggregation framework for decision making in green supply chains.

  2026cites this paper
• How to unlock route optimization for aeVTOL aircrafts through strategic planning? A novel-framework-based examination

  2025cites this paper
• Data-driven decision-making for enhancing aerobic and anaerobic performance in runners

  2025cites this paper
• Pythagorean cubic fuzzy multiple attributes group decision method for sustainable supply chain management

  2025cites this paper
• Elliptic intuitionistic fuzzy Bonferroni mean operator and its application in MCDM

  2025cites this paper
• Multi-criteria decision-analysis with SWARA and Aczel-Alsina aggregation for (m, n)-cubic quasi-rung orthopair fuzzy sets

  2025influential citation
• Development of a mathematical model using bipolar fuzzy credibility number and application of intelligent logistics management and warehousing to a multi-attribute decision making method

  2025cites this paper
• Single Meteorological Parameter-Based Ensemble Modeling for Reference Evapotranspiration in California’s Weather Stations

  2025cites this paper
• Cubic bipolar fuzzy aggregation operator with priority degree with multi-criteria decision-making

  2024cites this paper
• Enhancing green supplier selection: A nonlinear programming method with TOPSIS in cubic Pythagorean fuzzy contexts

  2024cites this paper
• An efficient 2-tuple linguistic cubic q-rung orthopair fuzzy CILOS-TOPSIS method: evaluating the hydrological geographical regions for watershed management in Pakistan

  2024cites this paper
• Selection of artificial neutral networks based on cubic intuitionistic fuzzy Aczel-Alsina aggregation operators

  2024cites this paper
• TOPSIS-Based Nonlinear Programming Method in Cubic p, q–Quasirung Orthopair Fuzzy Environment: Application in Green Supplier Selection

  2024cites this paper
• A Multicriteria Decision-making Approach to Create Accessible Environments to Empower Mobility-impaired Individuals

  2024cites this paper
• Revolutionizing diabetes care with innovative decision-making using cubic intuitionistic fuzzy Schweizer and Sklar power aggregation operators

  2024cites this paper
• Optimizing Robot Deployment in Hazardous Environment: MCDM Approach Using Field Performers Under Intuitionistic Dense Fuzzy Set

  2024cites this paper
• Development and application of a power Bonferroni mean operator based on the foreign fiber content grade evaluation method

  2024cites this paper
• Enhancing sustainability in supply chain management using softmax Schweizer-Sklar information aggregation

  2024cites this paper
• Group decision making based on a novel aggregation operator under linguistic interval-valued Atanassov intuitionistic fuzzy information

  2024cites this paper
• Improved cosine similarity and distance measures-based TOPSIS method for cubic Fermatean fuzzy sets

  2023cites this paper
• Multiple Attribute Decision-Making Based on Bonferroni Mean Operators under Square Root Fuzzy Set Environment

  2023cites this paper
• Water-power scenarios to 2033: A mixed model

  2023cites this paper
• Navigating the complexities of the crypto-market: an innovative approach with generalized Dombi aggregation operators in cubic Pythagorean fuzzy environment

  2023cites this paper
• Some $$p,q$$ p , q -cubic quasi-rung orthopair fuzzy operators for multi-attribute decision-making

  2023cites this paper
• A Modern Strategy for the Selection of Efficacious Solar Panels at Industrial Level under an Interval-Valued Picture Fuzzy Set Hybrid Environment

  2023cites this paper
• Multi-criteria group decision-making method in disposal of municipal solid waste based on cubic Pythagorean fuzzy EDAS approach with incomplete weight information

  2023cites this paper
• University’s recruitment process using Fermatean fuzzy Einstein prioritized aggregation operators

  2023cites this paper
• Some Intuitionistic Cubic Fuzzy Muirhead Mean Operators with Their Application to Multicriteria Decision Making

  2023cites this paper
• RETRACTED: Cyclone disaster assessment based on Fermatean hesitant fuzzy information and extended TOPSIS method

  2023cites this paper
• Multi-criteria group decision-making based on frank aggregation operators under Pythagorean cubic fuzzy sets

  2023cites this paper
• Stock Reordering Decision Making under Interval Valued Picture Fuzzy Knowledge

  2023cites this paper
• RETRACTED: An improved CLVA method for evaluating the endurance quality level of young male basketball players with 2-tuple linguistic neutrosophic information

  2023cites this paper
• Multi-attribute decision-making using Archimedean aggregation operator in T-spherical fuzzy environment

  2023cites this paper
• Novel Fermatean Fuzzy Bonferroni Mean aggregation operators for selecting optimal health care waste treatment technology

  2023cites this paper
• Logarithmic cubic aggregation operators and their application in online study effect during Covid-19

  2022cites this paper
• A Novel MAGDM Approach Based on Cubic q -Rung Orthopair Fuzzy Power Generalized Maclaurin Symmetric Mean Operator

  2022cites this paper
• Cubic Intuitionistic Fuzzy Topology with Application to Uncertain Supply Chain Management

  2022influential citation
• Temperature-Dependent Yield Strength of Nanoprecipitate-Strengthened Face-Centered Cubic High Entropy Alloys: Prediction and Analysis

  2022cites this paper
• An Extension of Bonferroni Mean under Cubic Pythagorean Fuzzy Environment and Its Applications in Selection-Based Problems

  2022influential citation
• Generalized Cubic Pythagorean Fuzzy Aggregation Operators and their Application to Multi-attribute Decision-Making Problems

  2022influential citation
• A new method for image processing using generalized linguistic neutrosophic cubic aggregation operator

  2022cites this paper
• Complex Spherical Fuzzy Decision Support System Based on Entropy Measure and Power Operator

  2022influential citation
• N-Cubic q-Rung Orthopair Fuzzy Sets: Analysis of the Use of Mobile App in the Education Sector

  2022influential citation
• Taxonomy Method for Multiple Attribute Group Decision Making Under the Spherical Fuzzy Environment

  2022cites this paper
• MARCOS approach based upon cubic Fermatean fuzzy set and its application in evaluation and selecting cold chain logistics distribution center

  2022cites this paper
• Pythagorean Cubic fuzzy Hamacher aggregation operators and their application in green supply selection problem

  2022cites this paper
• A Decision-Making Framework for University Student Sports Study Psychological Healthy Evaluation with 2-Tuple Linguistic Neutrosophic Numbers

  2022cites this paper
• On distance measure and TOPSIS model for probabilistic interval-valued hesitant fuzzy sets: application to healthcare facilities in public hospitals

  2021cites this paper
• Multi-criteria decision making method based on Bonferroni mean aggregation operators of complex intuitionistic fuzzy numbers

  2021cites this paper
• Feature Selection Using Approximate Conditional Entropy Based on Fuzzy Information Granule for Gene Expression Data Classification

  2021cites this paper
• Multiple attribute group decision-making based on cubic linguistic Pythagorean fuzzy sets and power Hamy mean

  2021cites this paper
• Cubic intuitionistic WASPAS technique and its application in multi-criteria decision-making

  2021influential citation
• Algorithms for MAGDM with intuitionistic fuzzy sets and their application for evaluating the green technological innovation ability of the enterprises

  2021cites this paper
• An approach for supplier selection problem based on picture cubic fuzzy aggregation operators

  2021cites this paper
• Algorithm for solving the decision-making problems based on correlation coefficients under cubic intuitionistic fuzzy information: a case study in watershed hydrological system

  2021influential citation
• Multi Criteria Group Decision Making Based On Q-Rung Orthopair Trapezoidal Hesitant Dombi Fuzzy Aggregation Operators

  2021cites this paper
• Prospect‐theory and geometric distance measure‐based Pythagorean cubic fuzzy multicriteria decision‐making

  2021cites this paper
• A novel Data-driven fuzzy aggregation method for Takagi-Sugeno-Kang fuzzy Neural network system using ensemble learning

  2021cites this paper
• Cubic bipolar fuzzy Dombi averaging aggregation operators with application to multi-criteria decision-making

  2021cites this paper
• Group decision making approach based on possibility degree measure under linguistic interval-valued intuitionistic fuzzy set environment

  2020cites this paper
• Generalized hesitant fuzzy information fusion using extended partitioned Bonferroni mean operator with application in decision-making

  2020cites this paper
• A novel approach of linguistic intuitionistic cubic hesitant variables and their application in decision making

  2020cites this paper
• Some novel aggregation operators for cubic picture fuzzy information: application in multi-attribute decision support problem

  2020cites this paper
• Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method

  2020influential citation
• Multicriteria Group Decision-Making for Supplier Selection Based on Intuitionistic Cubic Fuzzy Aggregation Operators

  2020cites this paper
• A new approach to cubic q-rung orthopair fuzzy multiple attribute group decision-making based on power Muirhead mean

  2020cites this paper
• Cubic q-Rung Orthopair Fuzzy Heronian Mean Operators and Their Applications to Multi-Attribute Group Decision Making

  2020influential citation
• Complex interval-valued intuitionistic fuzzy TODIM approach and its application to group decision making

  2020cites this paper
• Multi-criteria decision support systems based on linguistic intuitionistic cubic fuzzy aggregation operators

  2020cites this paper
• Generalized Maclaurin symmetric mean aggregation operators based on Archimedean t-norm of the intuitionistic fuzzy soft set information

  2020cites this paper
• An Intelligent and Robust Framework towards Anomaly Detection, Medical Diagnosis, and Shortest Path Problems Based on Interval-Valued T-Spherical Fuzzy Information

  2020cites this paper
• Multi-attribute group decision-making for online education live platform selection based on linguistic intuitionistic cubic fuzzy aggregation operators

  2020cites this paper
• Cubic q-Rung Orthopair Fuzzy Linguistic Set and Their Application to Multiattribute Decision-making with Muirhead Mean Operator

  2020cites this paper
• Octahedron Subgroups and Subrings

  2020cites this paper
• Distance and Similarity Measures for Octahedron Sets and Their Application to MCGDM Problems

  2020cites this paper
• Some modified results of the subtraction and division operations on interval neutrosophic sets

  2019cites this paper
• On Soft Rough Topology with Multi-Attribute Group Decision Making

  2019cites this paper
• Group decision-making method based on prioritized linguistic intuitionistic fuzzy aggregation operators and its fundamental properties

  2019cites this paper
• Some aggregation operators of Q-neutrosophic cubic sets for multi-attribute decision making

  2019cites this paper
• Multi-criteria group decision making based on Archimedean power partitioned Muirhead mean operators of q-rung orthopair fuzzy numbers

  2019cites this paper
• Intuitionistic fuzzy power geometric Heronian mean operators and their application to multiple attribute decision making

  2019cites this paper
• Multiattribute decision making based on power operators for linguistic intuitionistic fuzzy set using set pair analysis

  2019cites this paper
• Distance measures for cubic Pythagorean fuzzy sets and its applications to multicriteria decision making

  2019cites this paper
• Intuitionistic Fuzzy Hamacher Aggregation Operators with Entropy Weight and Their Applications to Multi-criteria Decision-Making Problems

  2019cites this paper
• Intuitionistic Fuzzy Multiple Criteria Group Decision Making: A Consolidated Model With Application to Emergency Plan Selection

  2019cites this paper
• Picture fuzzy aggregation information based on Einstein operations and their application in decision making

  2019cites this paper
• Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs

  2019cites this paper
• Intuitionistic fuzzy Dombi aggregation operators and their application to multiple attribute decision-making

  2019cites this paper
• Multi‐criteria group decision‐making method based on TODIM with probabilistic interval‐valued hesitant fuzzy information

  2019cites this paper
• New generalised Bonferroni mean aggregation operators of complex intuitionistic fuzzy information based on Archimedean t-norm and t-conorm

  2019cites this paper
• Complex Interval-valued Intuitionistic Fuzzy Sets and their Aggregation Operators

  2019cites this paper
• A novel possibility measure to interval-valued intuitionistic fuzzy set using connection number of set pair analysis and its applications

  2019cites this paper
• RETRACTED: A novel approach to multi-attribute group decision making based on q-rung orthopair uncertain linguistic information

  2019cites this paper
• Robust Averaging–Geometric Aggregation Operators for Complex Intuitionistic Fuzzy Sets and Their Applications to MCDM Process

  2019cites this paper
• TOPSIS based on nonlinear-programming methodology for solving decision-making problems under cubic intuitionistic fuzzy set environment

  2019cites this paper
• Generalized Geometric Aggregation Operators Based on T-Norm Operations for Complex Intuitionistic Fuzzy Sets and Their Application to Decision-making

  2019cites this paper
• A novel exponential distance and its based TOPSIS method for interval-valued intuitionistic fuzzy sets using connection number of SPA theory

  2018cites this paper