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.
read more
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.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Smart watch evaluation with integrated hesitant fuzzy linguistic SAW-ARAS technique
Gülçin Büyüközkan,Merve Güler +1 more
TL;DR: An assessment framework established on a Hesitant Fuzzy Linguistic Multi-Criteria Decision-Making technique to collectively consider parameters affecting the eventual decision to address the Smart Watch (SW) selection problem is introduced.
62
Some new hybrid weighted aggregation operators under hesitant fuzzy multi-criteria decision making environment
Huchang Liaoa,Zeshui Xua +1 more
- 01 Jan 2014
TL;DR: In this article, the authors developed some aggregation operators to fuse hesitant fuzzy information, including the hesitant fuzzy hybrid arithmetical averaging (HFHAA) operator, hesitant fuzzy Hybrid Arithmical Geometric Geometry (HFG) operator and quasi HFHAG operator, and their properties are investigated.
61
Induced aggregation under confidence levels
Meimei Xia,Zeshui Xu,Na Chen +2 more
TL;DR: This paper proposes a series of aggregation operators considering the confidence levels of the aggregated arguments and extends them to hesitant fuzzy environments in which there are some difficulties in determining the membership of an element to a set.
59
Application of multiple criteria decision making methods in construction: a systematic literature review
TL;DR: It is urged to systematically review the existing body of literature to demonstrate the evolution of the mainstream MCDM methods in general and their application status in construction.
Multiple-Attribute Decision-Making Using Fermatean Fuzzy Hamacher Interactive Geometric Operators
TL;DR: In this paper, a multiple-attribute decision-making (MADM) technique based on FFS is presented, where the Hamacher operator is used to reduce the impact of negative information and provide more accurate results.
References
•Book
Fuzzy sets
Lotfi A. Zadeh
- 01 Aug 1996
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
53.2K
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
15.7K
Detecting change in vague interpretations of landscapes
TL;DR: It is suggested that the mappings derived express subtle variations in land cover types and change in those types as well as in ecotones, which may be related more conclusively to an ecological process than are Boolean mappings with associated linear boundaries.
10.7K
Distances between intuitionistic fuzzy sets
Eulalia Szmidt,Janusz Kacprzyk +1 more
TL;DR: It is shown that all three parameters describing intuitionistic fuzzy sets should be taken into account while calculating those distances between intuitionistically fuzzy sets.
1.6K
Some properties of fuzzy sets of type 2
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 ⊡.
787