On some characterization of  Q-complex fuzzy sub-rings

Gulzar, Muhammad; Alghazzawi, Dilshad; Mateen, M. Haris; Premkumar, M.

doi:10.22436/jmcs.022.03.08

Cited by 19 publications

(11 citation statements)

References 21 publications

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“…So, these techniques are applied in diverse fields of engineering, fractals, image processing, navigation, and many other fields of science. For example, fuzzy fixed-point theory [6][7][8], fuzzy group theory [10], fuzzy ring theory [11,12], fuzzy field [13], and fuzzy differential equations (see reference in these mentioned papers, for more detail).…”

Section: Introductionmentioning

confidence: 99%

Existence of Fixed Points in Fuzzy Strong b-Metric Spaces

Kanwal

Kattan

Perveen

et al. 2022

Mathematical Problems in Engineering

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In the present research, modern fuzzy technique is used to generalize some conventional and latest results. The objective of this paper is to construct and prove some fixed-point results in complete fuzzy strong b-metric space. Fuzzy strong b-metric (sb-metric) spaces have very useful properties such as openness of open balls whereas it is not held in general for b-metric and fuzzy b-metric spaces. Due to its properties, we have worked in these spaces. In this way, we have generalized some well-known fixed-point theorems in fuzzy version. In addition, some interesting examples are constructed to illustrate our results.

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Section: Introductionmentioning

confidence: 99%

Existence of Fixed Points in Fuzzy Strong b-Metric Spaces

Kanwal

Kattan

Perveen

et al. 2022

Mathematical Problems in Engineering

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“…In 2021, Alghazzawi et al [1] studied ω-Q-fuzzy subrings. Gulzar et al [9] characterized Q-complex fuzzy subrings. Kausar et al [11] discussed anti-fuzzy bi-ideals in 2020.…”

Section: Introductionmentioning

confidence: 99%

On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

et al. 2022

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α, β)-Pythagorean fuzzy set is a very efficient way for dealing with uncertainty. In this article, we introduce the notions of (α, β)-Pythagorean fuzzy subring and (α, β)-Pythagorean fuzzy ideal of a ring. Further, we briefly describe various results related to it. Also, we discuss level subring of an (α, β)-Pythagorean fuzzy subring. Moreover, we study the direct product and ring homomorphism of (α, β)-Pythagorean fuzzy subring.INDEX TERMS (α, β)-PFS, (α, β)-PFSR, (α, β)-PFID, (α, β)-PFLSR

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“…Gulzar et al [39] published a inventive theory of complex fuzzy subfields. The new development about Q-complex fuzzy subring was introduced in [40]. For other useful results of fuzzy subgroups not mentioned in the article, readers are referred to [41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

A Novel Algebraic Structure of (α,β)-Complex Fuzzy Subgroups

Alolaiyan

Alshehri

Mateen

et al. 2021

Entropy

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A complex fuzzy set is a vigorous framework to characterize novel machine learning algorithms. This set is more suitable and flexible compared to fuzzy sets, intuitionistic fuzzy sets, and bipolar fuzzy sets. On the aspects of complex fuzzy sets, we initiate the abstraction of (α,β)-complex fuzzy sets and then define α,β-complex fuzzy subgroups. Furthermore, we prove that every complex fuzzy subgroup is an (α,β)-complex fuzzy subgroup and define (α,β)-complex fuzzy normal subgroups of given group. We extend this ideology to define (α,β)-complex fuzzy cosets and analyze some of their algebraic characteristics. Furthermore, we prove that (α,β)-complex fuzzy normal subgroup is constant in the conjugate classes of group. We present an alternative conceptualization of (α,β)-complex fuzzy normal subgroup in the sense of the commutator of groups. We establish the (α,β)-complex fuzzy subgroup of the classical quotient group and show that the set of all (α,β)-complex fuzzy cosets of this specific complex fuzzy normal subgroup form a group. Additionally, we expound the index of α,β-complex fuzzy subgroups and investigate the (α,β)-complex fuzzification of Lagrange’s theorem analog to Lagrange’ theorem of classical group theory.

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On some characterization of Q-complex fuzzy sub-rings

Cited by 19 publications

References 21 publications

Existence of Fixed Points in Fuzzy Strong b-Metric Spaces

Existence of Fixed Points in Fuzzy Strong b-Metric Spaces

On the Algebraic Attributes of (α, β)-Pythagorean Fuzzy Subrings and (α, β)-Pythagorean Fuzzy Ideals of Rings

A Novel Algebraic Structure of (α,β)-Complex Fuzzy Subgroups

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