Hesitant fuzzy subgroups and subrings

Kim, Jun Hui; Lee, None Jeonggon; Hur, Kul; Lim, Pyung Ki

doi:10.30948/afmi.2019.18.2.105

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Cited by 10 publications

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“…Let X={x 1 , x 2 , x 3 } be a reference set , and h A (x 1 ) = {0.5,0.7,0.9} , h A (x 2 ) = {0.2,0.5,0.6} , h A (x 3 ) = {0.4,0.7,0.8} ,then we can express the HFS A as:-A={< x 1 , {0.5,0.7,0.9} >, < x 2 , {0.2,0.5,0.6} >, < x 3 , {0.4,0.7,0.8} >}. Definition 2.3 [4,12,13] .…”

Section: Example 22mentioning

confidence: 99%

Hesitant Fuzzy Prime Ideal Of Ring.

al.¹

2021

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In this paper, we study hesitant fuzzy sets and some of its properties .We introduce the notions of hesitant fuzzy ideal, hesitant fuzzy prime ideal of a ring and hesitant fuzzy strongly prime ideal ,hesitant fuzzy 3- prime ideals . And we give a characterization of hesitant fuzzy prime ideal ,also introduce relationships between hesitant prime ideal and strongly prime ,3-prime . And some important basic operation on the hesitant fuzzy prime ideal of a ring .

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Section: Example 22mentioning

confidence: 99%

Hesitant Fuzzy Prime Ideal Of Ring.

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2021

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“…As a generalization of a fuzzy set [22], Torra and Narukawa [21,20] introduced the concept of a hesitant fuzzy set, which is a mapping from a reference set to a power set of the unit interval. After that, hesitant fuzzy sets are applied to algebraic structures; for examples, UP-algebras [10,12,11], BCK/BCI-algebras [13,14,15], semigroups [6,18], Γ-semigroups [1,8], ternary semigroups [7,19], BE-algebras [16], groups [2,9].…”

Section: Introductionmentioning

confidence: 99%