Author
S.A. Orlovsky
Bio: S.A. Orlovsky is an academic researcher from Russian Academy of Sciences. The author has contributed to research in topics: Fuzzy classification & Fuzzy set operations. The author has an hindex of 2, co-authored 2 publications receiving 1110 citations.
Papers
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TL;DR: It is shown that unfuzzy nondominated solutions to the decision-making problem exist, provided the original fuzzy relation satisfies some topological requirements, and a simple method of calculating these solutions is indicated.
1,141 citations
TL;DR: It is shown that under some assumptions alternatives exist which are in fact unfuzzily dominated thus serving as unfuzzy solutions to a fuzzily formulated problem.
82 citations
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Book•
31 Jul 1985
TL;DR: The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.
Abstract: Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers. The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. All chapters have been updated. Exercises are included.
7,877 citations
TL;DR: The concept of a hesitant fuzzy linguistic term set is introduced to provide a linguistic and computational basis to increase the richness of linguistic elicitation based on the fuzzy linguistic approach and the use of context-free grammars by using comparative terms.
Abstract: Dealing with uncertainty is always a challenging problem, and different tools have been proposed to deal with it. Recently, a new model that is based on hesitant fuzzy sets has been presented to manage situations in which experts hesitate between several values to assess an indicator, alternative, variable, etc. Hesitant fuzzy sets suit the modeling of quantitative settings; however, similar situations may occur in qualitative settings so that experts think of several possible linguistic values or richer expressions than a single term for an indicator, alternative, variable, etc. In this paper, the concept of a hesitant fuzzy linguistic term set is introduced to provide a linguistic and computational basis to increase the richness of linguistic elicitation based on the fuzzy linguistic approach and the use of context-free grammars by using comparative terms. Then, a multicriteria linguistic decision-making model is presented in which experts provide their assessments by eliciting linguistic expressions. This decision model manages such linguistic expressions by means of its representation using hesitant fuzzy linguistic term sets.
1,876 citations
TL;DR: A study on the steps to follow in linguistic decision analysis is presented in a context of multi-criteria/multi-person decision making.
1,522 citations
TL;DR: A complete set of comparison indices is proposed in the framework of Zadeh's possibility theory and it is shown that generally four indices enable one to completely describe the respective locations of two fuzzy numbers.
938 citations
TL;DR: This paper proposes a practical method for group decision making with linguistic preference relations based on the LGA and the LHGA operators and develops some new aggregation operators, which can be utilized to aggregate preference information taking the form of linguistic variables.
892 citations