A New Similarity Measure for Picture Fuzzy Sets and Its Application to Multi-Attribute Decision Making
Open Access
- 29 April 2021
- journal article
- research article
- Published by Vilnius University Press in Informatica
- Vol. 32 (3), 543-564
- https://doi.org/10.15388/21-infor452
Abstract
Publisher: Vilnius University Institute of Data Science and Digital Technologies, Journal: Informatica, Title: A New Similarity Measure for Picture Fuzzy Sets and Its Application to Multi-Attribute Decision Making, Authors: Minxia Luo, Yue Zhang, Li Fu , As an extension of intuitionistic fuzzy sets, picture fuzzy sets can deal with vague, uncertain, incomplete and inconsistent information. The similarity measure is an important technique to distinguish two objects. In this study, a similarity measure between picture fuzzy sets based on relationship matrix is proposed. The new similarity measure satisfies the axiomatic definition of similarity measure. It can be testified from a numerical experiment that the new similarity measure is more effective. Finally, we apply the proposed similarity measure to multiple-attribute decision making.Keywords
This publication has 30 references indexed in Scilit:
- Projection models for multiple attribute decision making with picture fuzzy informationInternational Journal of Machine Learning and Cybernetics, 2016
- Generalized picture distance measure and applications to picture fuzzy clusteringApplied Soft Computing, 2016
- An evidential view of similarity measure for Atanassov’s intuitionistic fuzzy setsJournal of Intelligent & Fuzzy Systems, 2016
- PICTURE FUZZY CROSS-ENTROPY FOR MULTIPLE ATTRIBUTE DECISION MAKING PROBLEMSJournal of Business Economics and Management, 2016
- Fuzzy multiattribute group decision making based on intuitionistic fuzzy sets and evidential reasoning methodologyInformation Fusion, 2016
- A novel similarity measure between Atanassov’s intuitionistic fuzzy sets based on transformation techniques with applications to pattern recognitionInformation Sciences, 2015
- A complete pattern recognition approach under Atanassov’s intuitionistic fuzzy setsKnowledge-Based Systems, 2014
- Image thresholding using restricted equivalence functions and maximizing the measures of similarityFuzzy Sets and Systems, 2007
- Intuitionistic fuzzy setsFuzzy Sets and Systems, 1986
- Fuzzy setsInformation and Control, 1965