Generalized Direct Product of Complex Intuitionistic Fuzzy Subrings

Gulzar, Muhammad; Mateen, M. Haris; Chu, Yu‐Ming; Alghazzawi, Dilshad; Abbas, Ghazanfar

doi:10.2991/ijcis.d.210106.001

Cited by 10 publications

(4 citation statements)

References 35 publications

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“…Gulzar et al [29] introduced the innovative idea of (CIFSGs) and discussed vital results of group theory. Gulzar et al [32] was introduced the concept of direct product of two CIFSRs and examined its different algebraic properties. The level subsets of the direct product of two CIFSs can also be developed.…”

Section: Introductionmentioning

confidence: 99%

A New Algebraic Structure of Complex Pythagorean Fuzzy Subfield

Mateen,

Alsuraiheed,

Hmissi

2023

IEEE Access

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The concept of complex Pythagorean fuzzy set (CPFS) is recent development in the field of fuzzy set (FS) theory. The significance of this concept lies in the fact that this theory assigned membership grades ψ and non-membership grades ψ from unit circle in plane, i.e., in the form of a complex number with the condition (ψ) 2 + ( ψ) 2 ≤ 1 instead from [0, 1] interval. This is an expressive technique for dealing with uncertain circumstances. The aim of this study is to proceed the classification of the unique framework of CPFS in algebraic structure that is field theory and examine its numerous algebraic features. Also, we initiate the important examples and results of certain field. Furthermore, we illustrate that every complex Pythagorean fuzzy subfield (CPFSF) generates two Pythagorean fuzzy subfields (PFSFs). We also prove many useful algebraic aspects of this notion for a CPFSF. Moreover, we demonstrate that intersection of two complex Pythagorean fuzzy subfields (CPFSFs) is also CPFSF. Additionally, we discuss the novel idea of level subsets of CPFSFs and demonstrate that level subset of CPFSF form subfield. Additionally, we improve the application of this theory to show the concept of the direct product of two CPFSFs is also a CPFSF and produce several novel results on direct product of CPFSFs. Finally, we explore the homomorphic images and inverse images of CPFSFs.

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Section: Introductionmentioning

confidence: 99%

A New Algebraic Structure of Complex Pythagorean Fuzzy Subfield

Mateen,

Alsuraiheed,

Hmissi

2023

IEEE Access

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“…Labeling of a graph has massive applications in several felds of life and science. For further study on fuzzy algebraic points of view, see [3][4][5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Topological Characterization of $q C_{n}$ Graph via Fuzzy Topological Indices

Mufti,

Anjum,

Tawfiq

et al. 2023

Journal of Mathematics

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Fuzzy topological indices are one of the accomplished mathematical approaches for numerous technology, engineering, and real-world problems such as telecommunications, social networking, traffic light controls, marine, neural networks, Internet routing, and wireless sensor network (Muneera et al. (2021)). This manuscript comprises the study of a particular class of graphs known as q C n snake graphs. Some innovative results regarding fuzzy topological indices have been established. The major goal of the work is to introduce the notions of First Fuzzy Zagrab Index, Second Fuzzy Zagrab Index, Randic Fuzzy Zagrab Index, and Harmonic Fuzzy Zagrab Index of the q C n snake graph.

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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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Generalized Direct Product of Complex Intuitionistic Fuzzy Subrings

Cited by 10 publications

References 35 publications

A New Algebraic Structure of Complex Pythagorean Fuzzy Subfield

A New Algebraic Structure of Complex Pythagorean Fuzzy Subfield

Fuzzy Topological Characterization of $q C_{n}$ Graph via Fuzzy Topological Indices

Existence of Fixed Points in Fuzzy Strong b-Metric Spaces

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Generalized Direct Product of Complex Intuitionistic Fuzzy Subrings

Cited by 10 publications

References 35 publications

A New Algebraic Structure of Complex Pythagorean Fuzzy Subfield

A New Algebraic Structure of Complex Pythagorean Fuzzy Subfield

Fuzzy Topological Characterization of q C n Graph via Fuzzy Topological Indices

Existence of Fixed Points in Fuzzy Strong b-Metric Spaces

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Product

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Fuzzy Topological Characterization of $q C_{n}$ Graph via Fuzzy Topological Indices