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A parametric similarity measure between picture fuzzy sets and its applications in multi-attribute decision-making.
- Source :
- Iranian Journal of Fuzzy Systems; Jan/Feb2023, Vol. 20 Issue 1, p87-102, 16p
- Publication Year :
- 2023
-
Abstract
- Picture fuzzy set is an extension of intuitionistic fuzzy set, which can deal with inconsistent and uncertain information more accurately. Similarity measure, as an important mathematical tool to evaluate the degree of similarity between picture fuzzy sets, has been widely used to deal with multi-attribute decision-making problems. But there are unreasonable and counter-intuitive cases due to a few undesirable properties. In order to handle these unreasonable cases, this paper proposes a parametric similarity measure based on three parameters m<subscript>1</subscript>, m<subscript>2</subscript> and m<subscript>3</subscript>, in which decision makers with different decision styles can obtain the appropriate similarity measure by adjusting parameters m<subscript>1</subscript>, m<subscript>2</subscript> and m<subscript>3</subscript>. Moreover, we analyze some existing similarity measures from the perspective of mathematics and show that the proposed similarity measure is effective by numerical examples. In the end, we use the proposed similarity measure to solve the problems of multi-attribute decision-making. Through the comparison and analysis, we find that the proposed similarity measure is more effective than some existing similarity measures between picture fuzzy sets. [ABSTRACT FROM AUTHOR]
- Subjects :
- FUZZY sets
DECISION making
PROBLEM solving
PICTURES
Subjects
Details
- Language :
- English
- ISSN :
- 17350654
- Volume :
- 20
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Iranian Journal of Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 161493230