Open AccessTOPSIS-based entropy measure for intuitionistic trapezoidal fuzzy sets and application to multi-attribute decision making
Author(s) -
Ye Fu Zheng,
Xu Jia,
Hong Zhang Chen
Publication year - 2020
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2020301
Subject(s) - ideal solution , topsis , closeness , mathematics , fuzzy number , entropy (arrow of time) , mathematical optimization , data mining , fuzzy set operations , measure (data warehouse) , fuzzy logic , fuzzy set , computer science , artificial intelligence , operations research , mathematical analysis , physics , quantum mechanics , thermodynamics
As an extension of intuitionistic fuzzy numbers, intuitionistic trapezoidal fuzzy numbers (ITrFNs) are useful in expressing complex fuzzy information with an 'interval value'. This study focuses on multi-attribute decision-making (MADM) problems with unknown attribute weights under an ITrFN environment. We initially present an entropy measure for ITrFNs by using the relative closeness of technique for order preference by similarity to an ideal solution. From the view of the reliability and certainty of decision data, we present an approach to determine the attribute weights. Subsequently, a new method to solve intuitionistic trapezoidal fuzzy MADM problems with unknown attribute weight information is proposed. A numerical example is provided to verify the practicality and effectiveness of the proposed method.