Bipolar Fuzzy BRK-ideals in BRK-algebras

Hayat, Khizar; Liu, Xiaochu; Cao, Bing-Yuan

doi:10.1007/978-3-319-66514-6_1

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2021

2024

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Cited by 4 publications

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“…Moreover, under the framework of (L, M)-fuzzy convex structures, the concepts of quotient structures, substructures, and products are presented and their fundamental properties are discussed. At the same time, some scholars study the ideality and derivability of fuzzy sets [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

M-Hazy Module and Its Homomorphism Theorem

Huo

Liu

2023

Journal of Mathematics

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Based on a completely distributive lattice M , we propose a new fuzzification approach to a module, which leads to the concept of an M -hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M -hazy module by fuzzifications of algebraic operations. Then, we investigate the fundamental properties of M -hazy modules and M -hazy submodules. In particular, we present the M -hazy module homomorphism theorem.

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Section: Introductionmentioning

confidence: 99%

M-Hazy Module and Its Homomorphism Theorem

Huo

Liu

2023

Journal of Mathematics

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Fuzzy bipolar soft semiprime ideals in ordered semigroups

Aziz-ul-Hakim

Khan

Ahmad

et al. 2021

Heliyon

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FBS left ideal FBS right ideal FB ideal FBS semiprime ideal FBS prime idealIn this paper, we introduce fuzzy bipolar soft semiprimality in the structure of ordered semigroups and investigate some properties of the concept. Moreover, ordered semigroups and their some classes are characterized by means of fuzzy bipolar soft semiprimality. Finally, the Cartesian product of fuzzy bipolar soft semiprime (resp., prime) ideals over ordered semigroups is examined. Some of the ideas are supported by apt examples.

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