Proceedings Article10.1109/FUZZY.2009.5276884
On hesitant fuzzy sets and decision
Vicenç Torra,Yasuo Narukawa +1 more
- 02 Oct 2009
- pp 1378-1382
1.1K
TL;DR: The hesitant fuzzy sets as mentioned in this paper are a generalization of fuzzy sets where the membership is an interval, instead of being a single value, and they have been used in decision making.
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Abstract: Intuitionistic Fuzzy Sets (IFS) are a generalization of fuzzy sets where the membership is an interval. That is, membership, instead of being a single value, is an interval. A large number of operations have been defined for this type of fuzzy sets, and several applications have been developed in the last years. In this paper we describe hesitant fuzzy sets. They are another generalization of fuzzy sets. Although similar in intention to IFS, some basic differences on their interpretation and on their operators exist. In this paper we review their definition, the main results and we present an extension principle, which permits to generalize existing operations on fuzzy sets to this new type of fuzzy sets. We also discuss their use in decision making.
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Citations
Multiattribute group decision making based on interval-valued neutrosophic N-soft sets
Jianbo Liu,Ziyue Chen,Yanan Chen,Yanyan Zhang,Chenwei Li +4 more
- 01 Oct 2021
TL;DR: The core of the new algorithm is the extended relationship, which can solve the decision problem when encountering two or more classes of attribute sets, and the proposed algorithm is more concise and easy to operate than the TOPSIS.
Partial orderings for hesitant fuzzy sets
TL;DR: New partial orderings o, p and H are defined, studied and compared on the set H of finite subsets of the unit interval with special emphasis on the last one.
•Posted Content
Some new similarity measures for hesitant fuzzy sets and their applications in multiple attribute decision making
Xiaoqiang Zhou,Qingguo Li +1 more
TL;DR: In this paper, some new similarity measures for HFSs are developed and based on the proposed similarity measures, a method of multiple attribute decision making under hesitant fuzzy environment is introduced.
Some New Similarity Measures for Hesitant Fuzzy Sets and Their Applications in Multiple Attribute Decision Making
Xiaoqiang Zhou,Qingguo Li +1 more
TL;DR: This paper introduces new similarity measures for hesitant fuzzy sets, a generalization of fuzzy sets, and applies them to multiple attribute decision making, providing a numerical example to illustrate their practical application in decision-making processes.
Comparative Study of MCDM Methods under Different Levels of Uncertainty
Akshay Hinduja,Manju Pandey +1 more
TL;DR: This study compares the performance of five MCDM methods (WSM, WPM, TOPSIS, GRA, and MULTIMOORA) under varying levels of uncertainty using Monte Carlo simulation, providing insights for decision-makers to select the most robust methods for different scenarios.
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Masaharu Mizumoto,Kokichi Tanaka +1 more
TL;DR: This paper investigates the algebraic structures of fuzzy grades under the operations of join ⊔, meet ⊓, and negation ┐ which are defined by using the extension principle, and shows that convex fuzzy grades form a commutative semiring and normal convex fuzzies form a distributive lattice under ⊢ and ⊡.
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