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
Assessing the rockburst risk for deep shafts via distance-based multi-criteria decision making approaches with hesitant fuzzy information
TL;DR: The proposed distance-based multi-criteria decision making approach with hesitant fuzzy information is utilized to evaluate the rockburst risk for deep shafts in the Xincheng gold mine and indicates that the evaluation of risk is consistent with observed field conditions.
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Evaluating the sustainable mining contractor selection problems: An imprecise last aggregation preference selection index method
TL;DR: A hesitant fuzzy preference selection index (HFPSI) method is proposed based on a new soft computing approach with risk preferences of DMs to deal with imprecise multi-criteria decision-making problems.
50
New extension of TOPSIS method based on Pythagorean hesitant fuzzy sets with incomplete weight information
TL;DR: A novel TOPSIS method extension is proposed for multi-attribute decision making problems using Pythagorean hesitant fuzzy sets with incomplete weight information, incorporating an optimization model to determine attribute weights and maximizing deviation method for decision making.
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An interval-valued hesitant fuzzy multigranulation rough set over two universes model for steam turbine fault diagnosis
TL;DR: To solve the problems presented by uncertain data analysis and group decision-making in steam turbine fault diagnosis, a new rough set model that combines interval-valued hesitant fuzzy sets with multigranulation rough sets over two universes is proposed.
49
Determining the utility in management by using multi-criteria decision support tools: a review
Abbas Mardani,Ahmad Jusoh,Katarzyna Halicka,Joanna Ejdys,Andrzej Magruk,Ungku Norulkamar Ungku Ahmad +5 more
- 24 Nov 2018
TL;DR: The results of this study show that, in 2013, scholars published more papers on the MCDM utility-determining techniques than in other years, and a group of COPRAS methods was ranked number one among the methods used in this area.
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