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Level subsets of a hesitant fuzzy set on UP-algebras

Aiyared Iampan|Phakawat Mosrijai|Akarachai Satirad|Wassana Kamti
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2017.09|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제14권 제3호|pp. 279-302|DOI 10.30948/afmi.2017.14.3.279

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키워드

Hesitant fuzzy setUP-algebraLevel subset

초록

In this paper, level subsets of a hesitant fuzzy set on UP-algebras are introduced and proved some results. Further, we discuss the relationships among (prime, weakly prime) hesitant fuzzy UP-subalgebras (resp. hesitant fuzzy UP-filters, hesitant fuzzy UP-ideals and hesitant fuzzy strongly UP-ideals) and some level subsets of a hesitant fuzzy set on UP-algebras.

Abstract

In this paper, level subsets of a hesitant fuzzy set on UP-algebras are introduced and proved some results. Further, we discuss the relationships among (prime, weakly prime) hesitant fuzzy UP-subalgebras (resp. hesitant fuzzy UP-filters, hesitant fuzzy UP-ideals and hesitant fuzzy strongly UP-ideals) and some level subsets of a hesitant fuzzy set on UP-algebras.

참고문헌 (18)

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