A novel generalization of fuzzy ideals in semigroups

Jun, Young Bae; Song, Seok-Zun

doi:10.12988/ams.2016.66181

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2018

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“…In [12], Jun et al considered the generalized form of quasi-coincident with relation (q) and introduced the concept of (∈, ∈ ∨q δ 0 )-fuzzy subgroup of a group and discussed related results. Jun and Song [14] generalized the concepts and results in [26], and provided the characterizations of (∈, ∈ ∨q δ 0 )-fuzzy left (resp. right, bi-) ideals of semigroups.…”

Section: Introductionmentioning

confidence: 99%

Generalization of (∈,∈∨q_k )-fuzzy subnear-rings and (∈,∈∨q_k )-fuzzy ideals of near-rings

Manikantan¹,

Ramkumar²

2018

Int. J. of Algeb. and Stat.

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In this paper, we introduce the notions of (∈, ∈∨q_δ^k)-fuzzy subnear-ring and (∈, ∈∨q_δ^k)-fuzzy ideal of a near-ring which are generalization of (∈, ∈∨q_k)-fuzzy subnear-ring and (∈, ∈∨q_k)-fuzzy ideal respectively. We provide the characterizations of (∈, ∈∨q_δ^k)-fuzzy subnear-ring (resp. ideal) of a near-ring and deal with some related properties. Further, we introduce the notion of ∈∨q_δ^k-level subset of a fuzzy subset and obtain some related results.

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Section: Introductionmentioning

confidence: 99%