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On Interval-Valued Hesitant Fuzzy Soft Sets

Haidong Zhang, Lianglin Xiong and Weiyuan Ma

Mathematical Problems in Engineering, 2015, vol. 2015, 1-17

Abstract:

By combining the interval-valued hesitant fuzzy set and soft set models, the purpose of this paper is to introduce the concept of interval-valued hesitant fuzzy soft sets. Further, some operations on the interval-valued hesitant fuzzy soft sets are investigated, such as complement, “AND,” “OR,” ring sum, and ring product operations. Then, by means of reduct interval-valued fuzzy soft sets and level hesitant fuzzy soft sets, we present an adjustable approach to interval-valued hesitant fuzzy soft sets based on decision making and some numerical examples are provided to illustrate the developed approach. Finally, the weighted interval-valued hesitant fuzzy soft set is also introduced and its application in decision making problem is shown.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:254764

DOI: 10.1155/2015/254764

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