Certain properties of ω-Q-fuzzy subrings

Alghazzawi, Dilshad; Hanoon, Wafaa H.; Gulzar, Muhammad; Abbas, Ghazanfar; Kausar, Nasreen

doi:10.11591/ijeecs.v21.i2.pp822-828

Cited by 5 publications

(5 citation statements)

References 10 publications

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“…Rosenfeld applied this theory on groups 4 . Throughout, the history of fuzzy set, there are many types of fuzzy set extensions 5 – 8 , for example interval-valued fuzzy sets, vague sets etc. To differentiate the irrelevant and contrary elements in a fuzzy set, Zhang 9 came up with the term BF set on the basis of this consideration.…”

Section: Introductionmentioning

confidence: 99%

An efficient approach to study multi-polar fuzzy ideals of semirings

Bashir,

Alharbi,

Mazhar

et al. 2024

Sci Rep

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The multi polar fuzzy (m-PF) set has an extensive range of implementations in real world problems related to the multi-polar information, multi-index and multi-attributes data. This paper introduces innovative extensions to algebraic structures. We present the definitions and some important results of m-polar fuzzy subsemirings (m-PFSSs), m-polar fuzzy ideals (m-PFIs), m-polar fuzzy generalized bi-ideals (m-PFGBIs), m-polar fuzzy bi-ideals (m-PFBIs) and m-polar fuzzy quasi-ideals (m-PFQIs) in semirings. The main contributions of the paper include the derivation and proof of key theorems that shed light on the algebraic interplay and computational aspects of m-polar fuzzy ideals (m-PFIs), m-polar fuzzy generalized bi-ideals (m-PFGBIs), m-polar fuzzy bi-ideals (m-PFBIs) and m-polar fuzzy quasi-ideals (m-PFQIs) in semirings along with examples. Moreover, this paper deals with several important properties of m-PFIs and characterizes regular and intra-regular semirings by the properties of these ideals.

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Section: Introductionmentioning

confidence: 99%

An efficient approach to study multi-polar fuzzy ideals of semirings

Bashir,

Alharbi,

Mazhar

et al. 2024

Sci Rep

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“…[10] obtained fuzzy common FPs for generalized mappings, Ahmad et al [11] achieved FPs for locally contractive mappings, Azam et al [12,13] established FPs and common FPs for FPs, Estruch and Vidal [14]and Frigon and O'Regan [15] constructed FFPs for FPs, Kanwal and Azam [16] obtained common coincidence points for L-FMs and obtained many useful results for FMs and setvalued mappings as the direct consequences of the main result, Lee and Jin Cho [17] did work in proving the FP theorem for fuzzy contractive-type mappings, Phiangsungnoen and Kumam [18,19] proved FFP theorems for multivalued fuzzy contractions in b-MSs, and Rashid et al [20,21] established L-fuzzy fixed points via beta-L admissible pair and coincidence theorem via α-cuts of L-FMs with applications. Gulzar et al [22,23] did work on fuzzy algebra and obtained results in this area.…”

Section: Introductionmentioning

confidence: 99%

Existence of $α_{L}$ -Fuzzy Fixed Points of L-Fuzzy Mappings

Kanwal

Hanif

Noorwali

et al. 2022

Mathematical Problems in Engineering

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In this research article, fixed point theory is beautifully combined with fuzzy set theory. Two fuzzy fixed point theorems of L-fuzzy mappings are established and proved for two different contractive type conditions in the scenario of complete b-metric space. In order to give the strength of these results, nontrivial supportive examples for both results are also provided. The notion of L-fuzzy mappings is a generalized form of fuzzy mappings as well as multivalued mappings. In this approach, our results provide uniqueness, extension, and successive generalizations of many valuable recent and conventional results existing in the literature.

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“…Dixit et al [8] studied various aspects of fuzzy rings. In 2021, Alghazzawi et al [1] studied ω-Q-fuzzy subrings. Gulzar et al [9] characterized Q-complex fuzzy subrings.…”

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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Certain properties of ω-Q-fuzzy subrings

Cited by 5 publications

References 10 publications

An efficient approach to study multi-polar fuzzy ideals of semirings

An efficient approach to study multi-polar fuzzy ideals of semirings

Existence of $α_{L}$ -Fuzzy Fixed Points of L-Fuzzy Mappings

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

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Certain properties of ω-Q-fuzzy subrings

Cited by 5 publications

References 10 publications

An efficient approach to study multi-polar fuzzy ideals of semirings

An efficient approach to study multi-polar fuzzy ideals of semirings

Existence of α L -Fuzzy Fixed Points of L-Fuzzy Mappings

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

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Existence of $α_{L}$ -Fuzzy Fixed Points of L-Fuzzy Mappings