Some operations on hesitant fuzzy soft sets over UP-algebras

Volume 20, Issue 2, pp 131--154 http://dx.doi.org/10.22436/jmcs.020.02.06

Publication Date: October 29, 2019 Submission Date: March 03, 2019 Revision Date: September 07, 2019 Accteptance Date: September 16, 2019

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Authors

Phakawat Mosrijai - Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand. Aiyared Iampan - Department of Mathematics, School of Science, University of Phayao, Phayao 56000, Thailand.

Abstract

This paper aim is to apply the notions of the (restricted) union, the (extended) intersection, the \(\mathrm{AND}\), and the \(\mathrm{OR}\) of any hesitant fuzzy soft set to UP-algebras. Moreover, we discuss results of the intersection and the union of hesitant fuzzy sets on UP-algebras and also apply the notions of the hesitant union and the hesitant intersection of hesitant fuzzy sets to UP-algebras.

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Keywords

• UP-algebra
• hesitant fuzzy soft set
• anti-hesitant fuzzy soft set
• hesitant union
• hesitant intersection

MSC

•  03G25

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