Trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted Minkowski distance operator based on preference relations

Preference relations (PRs) as useful and efficient information description tools have been widely applied in practical multiple‐attribute group decision‐making (MAGDM) problems. Due to fuzziness and complexity of problems, the limitations of the experts’ professional knowledge and experience, the provided PRs are usually inconsistent, will lead to unreasonable conclusion. Consequently, we define the concept of trapezoidal Pythagorean fuzzy linguistic PRs (TrPFLPRs), a method for confirm the consistent of PRs and repair inconsistent PFs in this paper. Meanwhile, we propose trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted Minkowski distance operator to aggregate the TrPFLPRs information. Finally, a numerical example is given to illustrate the practicality and effectiveness of the proposed operator.

• Publication year

  2019

• Venue

  International Journal of Intelligent Systems

• Publication date

  2019-07-26

• Fields of study

  Mathematics, Computer Science

• Identifiers
  DOI 10.1002/int.22139
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• A new trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted averaging operator and its application for enterprise location

  2018cited by this paper
• A Novel Intuitionistic Fuzzy Induced Ordered Weighted Euclidean Distance Operator and Its Application for Group Decision Making

  2017cited by this paper
• Fuzzy Linguistic Induced Generalized OWA Operator and Its Application in Fuzzy Linguistic Decision Making

  2016cited by this paper
• Communication Between Information Systems Using Ordered Weighted Averaging

  2016cited by this paper
• Intuitionistic Fuzzy Linguistic Induced Ordered Weighted Averaging Operator for Group Decision Making

  2015influential reference
• Generalizations of OWA Operators

  2015cited by this paper
• Consistency of the fused intuitionistic fuzzy preference relation in group intuitionistic fuzzy analytic hierarchy process

  2015cited by this paper
• Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets

  2014cited by this paper
• Priorities of Intuitionistic Fuzzy Preference Relation Based on Multiplicative Consistency

  2014cited by this paper
• Pythagorean Membership Grades in Multicriteria Decision Making

  2014cited by this paper
• Fuzzy Linguistic Induced Euclidean OWA Distance Operator and its Application in Group Linguistic Decision Making

  2014influential reference
• Fuzzy linguistic induced OWA Minkowski distance operator and its application in group decision making

  2014cited by this paper
• Pythagorean Membership Grades, Complex Numbers, and Decision Making

  2013cited by this paper
• Derivation of intuitionistic fuzzy weights based on intuitionistic fuzzy preference relations

  2013cited by this paper
• Methods for aggregating intuitionistic uncertain linguistic variables and their application to group decision making

  2012cited by this paper
• Fuzzy Linguistic Induced Ordered Weighted Averaging Operator and Its Application

  2012influential reference
• Algorithms for estimating missing elements of incomplete intuitionistic preference relations

  2011cited by this paper
• The optimal priority models of the intuitionistic fuzzy preference relation and their application in selecting industries with higher meteorological sensitivity

  2011cited by this paper
• A unified model between the weighted average and the induced OWA operator

  2011cited by this paper
• Entropy, similarity measure of interval-valued intuitionistic fuzzy sets and their applications

  2011cited by this paper
• A new aggregation method for strategic decision making and its application in assignment theory

  2011cited by this paper
• Method for aggregating triangular fuzzy intuitionistic fuzzy information and its application to decision making

  2010cited by this paper
• New decision-making techniques and their application in the selection of financial products

  2010cited by this paper
• A method for estimating criteria weights from intuitionistic preference relations

  2009cited by this paper
• Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations

  2009cited by this paper
• Similarity measures of intuitionistic fuzzy sets based on Lp metric

  2007cited by this paper
• Intuitionistic preference relations and their application in group decision making

  2007cited by this paper
• Detecting change in vague interpretations of landscapes

  2006cited by this paper
• Consensus Measures and Adjusting Inconsistency of Linguistic Preference Relations in Group Decision Making

  2005cited by this paper
• Generalized OWA Aggregation Operators

  2004cited by this paper
• Some issues on consistency of fuzzy preference relations

  2004cited by this paper
• Decision-making with the AHP: Why is the principal eigenvector necessary

  2003influential reference
• Entropy for intuitionistic fuzzy sets

  2001cited by this paper
• Linguistic decision analysis: steps for solving decision problems under linguistic information

  2000cited by this paper
• A consistency improving method in the analytic hierarchy process

  1999cited by this paper
• Group decision making under intuitionistic fuzzy preference relations

  1998cited by this paper
• Aggregation operators for linguistic weighted information

  1997cited by this paper
• Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets

  1996cited by this paper
• Direct approach processes in group decision making using linguistic OWA operators

  1996cited by this paper
• Correlation of interval-valued intuitionistic fuzzy sets

  1995cited by this paper
• A Sequential Selection Process in Group Decision Making with a Linguistic Assessment Approach

  1995influential reference
• Homogeneity and clustering in AHP ensures the validity of the scale

  1994influential reference
• Families of OWA operators

  1993cited by this paper
• On Group Decision Making under Fuzzy Preferences

  1990cited by this paper
• Fuzzy Preference Relations in Group Decision Making

  1988cited by this paper
• On ordered weighted averaging aggregation operators in multicriteria decisionmaking

  1988cited by this paper
• On ordered weighted averaging aggregation operators in multicriteria decision-making

  1988cited by this paper
• Intuitionistic fuzzy sets

  1986cited by this paper
• A note on the analysis of subjective judgment matrices

  1985cited by this paper
• A statistical approach to Saaty's scaling method for priorities

  1984cited by this paper
• An alternative scaling method for priorities in hierarchical structures

  1984cited by this paper
• Fuzzy preference orderings in group decision making

  1984cited by this paper
• Marketing Applications of the Analytic Hierarchy Process

  1980cited by this paper
• Decision-making with a fuzzy preference relation

  1978cited 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

• CODAS with heronian minkowski distance operator: a novel approach for complex fermatean fuzzy multi-criteria group decision analysis

  2026cites this paper
• Machining Scheme Selection of Features Based on Process Knowledge Graph and Improved Cosine Similarity Matching

  2025cites this paper
• A generalized form of the distance-induced OWA operators - Demonstrating its use for evaluation indicator system in China

  2024cites this paper
• Pythagorean Z-linguistic VIKOR method based on modified value function under Pythagorean Z-linguistic environment and its application on smart healthcare

  2024influential citation
• A novel CODAS approach based on Heronian Minkowski distance operator for T-spherical fuzzy multiple attribute group decision-making

  2024cites this paper
• A novel multiple attribute decision-making method based on Schweizer-Sklar t-norm and t-conormwith q-rung dual hesitant fuzzy information

  2023cites this paper
• Emergency Decision Model by Combining Preference Relations with Trapezoidal Pythagorean Fuzzy Probabilistic Linguistic Priority Weighted Averaging PROMETHEE Approach

  2022cites this paper
• Some q-rung orthopair trapezoidal fuzzy linguistic hamacher aggregation operators and their applications

  2021cites this paper
• Q-rung orthopair fuzzy weighted induced logarithmic distance measures and their application in multiple attribute decision making

  2021cites this paper
• Group Decision-Making with Distance Induced Fuzzy Operators

  2021cites this paper
• Novel supplier grading approach based on interval probability hesitant fuzzy linguistic TOPSIS

  2020cites this paper
• A multi‐criteria sustainable supplier selection framework based on neutrosophic fuzzy data and entropy weighting

  2020cites this paper
• Multiple Attribute Group Decision Making Based on Simplified Neutrosophic Integrated Weighted Distance Measure and Entropy Method

  2020cites this paper
• The Distance Induced OWA Operator with Application to Multi-criteria Group Decision Making

  2020cites this paper
• Interval-Valued Pythagorean Normal Fuzzy Information Aggregation Operators for Multi-Attribute Decision Making

  2020cites this paper