Interval-valued Hesitant Fuzzy Soft Sets and their Application in Decision Making

• Autorzy: Peng X. , Yang Y.

Identyfikatory

DOI

10.3233/FI-2015-1264

• Języki publikacji: EN

Abstrakty

EN

The soft set theory can be used as a newly mathematical tool to handle uncertainty. However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In this paper, we propose the interval-valued hesitant fuzzy soft sets which are a combination of the interval-valued hesitant fuzzy sets and soft sets. Then, the complement, AND, OR, union, intersection, restricted union, extended intersection, difference, average, and geometric operations are defined on the interval-valued hesitant fuzzy soft sets, and some basic properties are also discussed in detail. Finally, by means of TOPSIS (Technique for Order Preference by Similarity to Ideal Solution) and the maximizing deviation method, an algorithm is presented, and a comprehensive sensitivity analysis is employed, and the effectiveness is proved by a numerical example.

Słowa kluczowe

EN

soft sets; interval-valued hesitant fuzzy soft sets; interval-valued hesitant fuzzy sets; TOPSIS method; maximizing deviation

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2015
• Tom: Vol. 141, nr 1
• Strony: 71--93
• Opis fizyczny: Bibliogr. 20 poz., tab.

Twórcy

autor

Peng X.

• College of Computer Science and Engineering Northwest Normal University Lanzhou, 730070, Gansu, China

autor

Yang Y.

• College of Computer Science and Engineering Northwest Normal University Lanzhou, 730070, Gansu, China

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