Characterization of Q-fuzzy subrings (Anti Q-fuzzy subrings) with respect to a T-norm (T-conorm)

Rasuli, Rasul

doi:10.1080/02522667.2016.1228316

Cited by 17 publications

(7 citation statements)

References 5 publications

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“…Makaba and Murali [21] discussed fuzzy subgroups of finite groups. Rasuli [22] discussed -fuzzy subring with respect to -norm in The -fuzzy subgroup in algebra was discussed in [23]. More development about fuzzy subgroup may be viewed [24].…”

Section: Introductionmentioning

confidence: 99%

Certain properties of ω-Q-fuzzy subrings

Alghazzawi

Hanoon

Gulzar

et al. 2021

IJEECS

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<p>In this paper, we define the - -fuzzy subring and discussed various fundamental aspects of - -fuzzy subrings. We introduce the concept of - -level subset of this new fuzzy set and prove that - -level subset of - -fuzzy subring form a ring. We define - -fuzzy ideal and show that set of all - -fuzzy cosets form a ring. Moreover, we investigate the properties of homomorphic image of - -fuzzy subring.</p>

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Section: Introductionmentioning

confidence: 99%

Certain properties of ω-Q-fuzzy subrings

Alghazzawi

Hanoon

Gulzar

et al. 2021

IJEECS

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“…Hu et al [7,8] investigated the many distance measurements of complex fuzzy sets and the approximate comparisons between complex fuzzy sets based on the transition complex valued membership. The concept of Q-fuzzy sub-ring with respect to t-norm was introduced by Rasuli [19]. Many interesting results of (α, β)-complex fuzzy hyper-ideal were presented by [6] in 2019.…”

Section: Introductionmentioning

confidence: 99%

On some characterization of Q-complex fuzzy sub-rings

Gulzar¹,

Alghazzawi²,

Mateen³

et al. 2020

J. Math. Computer Sci.

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In this paper, we introduce the idea of Q-complex fuzzy sub-ring (Q-CFSR) and discuss its various algebraic aspects. We prove that every Q-CFSR generates two Q-fuzzy sub-rings (Q-FSRs). We also present the concept of level subsets of Q-CFSR and show that level subset of Q-CFSR form sub-ring. Furthermore, we extend this idea to define the notion of the direct product of two Q-CFSR Moreover, we investigate the homomorphic image and inverse image of Q-CFSR.

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“…The triangular conorm (t-conorm) originated from the studies of probabilistic metric spaces [5,28] in which triangular inequalities were extended using the theory of t-conorm. The author by using norms, investigated some properties of fuzzy algebraic structures [6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26]. In Section 2, some preliminary definitions and results regarding multisets have been introduced.…”

Section: Introductionmentioning

confidence: 99%

Anti Q-fuzzy Subgroups under t-conorms

Rasuli

2020

EJMS

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In this paper we introduce the notion of anti Q-fuzzy subgroups of G with respect to t-conorm C and study their important properties. Next we define the union, normal and direct product of two anti Q-fuzzy subgroups of G with respect to t-conorm C and we show that the union, normal and direct product of them is again an anti Q-fuzzy subgroup of G with respect to t-conorm C. It is also shown that the homomorphic image and pre image of anti Q-fuzzy subgroup of G with respect to t-conorm C is again an anti Q-fuzzy subgroup of G with respect to t-conorm C. See [3]). Let G be a group. Let H be a non-empty subset of G. Then the following are equivalent: Proposition 2.3 (Anti Q-fuzzy Subgroups under t-conorms Earthline

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Characterization of Q-fuzzy subrings (Anti Q-fuzzy subrings) with respect to a T-norm (T-conorm)

Cited by 17 publications

References 5 publications

Certain properties of ω-Q-fuzzy subrings

Certain properties of ω-Q-fuzzy subrings

On some characterization of Q-complex fuzzy sub-rings

Anti Q-fuzzy Subgroups under t-conorms

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