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Information Journal Paper

Title

Negations and aggregation operators based on a new hesitant fuzzy partial ordering

Pages

  1-12

Abstract

 Based on a new hesitant fuzzy partial ordering proposed by Garmendia et al. [7], in this paper a fuzzy disjunction D on the set H of finite and nonempty subsets of the unit interval and a t-conorm S on the set  B of equivalence class on the set of finite bags of unit interval based on this partial ordering are introduced respectively. Then, hesitant fuzzy negations Nn on H and  n on  B are proposed. Particularly, their De Morgan’ s laws are investigated with respect to binary operations C and D on H, as well as T and S on  B respectively, where C is a commutative fuzzy conjunction on (H;  H) and T is a t-norm on ( B;  B). Finally, the new hesitant fuzzy aggregation operators are presented on H and  B and their more general forms are given. Moreover, the validity of the aggregation operations is illustrated by a numerical example on decision making.

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    • Cite

    APA: Copy

    YE, M., JIN, J., & FENG, Y.. (2020). Negations and aggregation operators based on a new hesitant fuzzy partial ordering. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(1 ), 1-12. SID. https://sid.ir/paper/376829/en

    Vancouver: Copy

    YE M., JIN J., FENG Y.. Negations and aggregation operators based on a new hesitant fuzzy partial ordering. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(1 ):1-12. Available from: https://sid.ir/paper/376829/en

    IEEE: Copy

    M. YE, J. JIN, and Y. FENG, “Negations and aggregation operators based on a new hesitant fuzzy partial ordering,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 1 , pp. 1–12, 2020, [Online]. Available: https://sid.ir/paper/376829/en

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