Direct product of finite anti fuzzy normal sub-rings over non-associative rings

Kausar, Nasreen; Munir, Mohammad; Salahuddin, Salahuddin; Baharudin, Z.; Islam, Badar ul

doi:10.22436/jmcs.022.04.08

Cited by 2 publications

(1 citation statement)

References 15 publications

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“…In 2015, IFGs with categorical properties were developed by Rashmanlou et al [16]. Several studies [29][30][31][32][33] discussed the principles of fuzzy graphs and different products in fuzzy graphs. X. Hong et al introduced some applications of fuzzy graphs.…”

Section: Introductionmentioning

confidence: 99%

Conormal Product for Intutionistic Anti-Fuzzy Graphs

Kalaiarasi

Mahalakshmi

Kausar

et al. 2023

IJFIS

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This study introduces and analyzes the conormal product of intuitionistic anti-fuzzy graphs (IAFGs) and analyzes certain fundamental theorems and applications. Further, new notions on complete and regular IAFGs were introduced, and the conormal product operation was applied to these IAFGs. We showed that the conormal product of two IAFGs could be used and analyzed important results showing that the conormal product of complete, regular, and strong IAFGs is an IAFG.

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Section: Introductionmentioning

confidence: 99%

Conormal Product for Intutionistic Anti-Fuzzy Graphs

Kalaiarasi

Mahalakshmi

Kausar

et al. 2023

IJFIS

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A note on direct product of complex intuitionistic fuzzy subfield

Khamis

Ahmad

2023

IFS

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This paper presents the concepts of a complex intuitionistic fuzzy subfield (CIFSF) and the direct product of a complex intuitionistic fuzzy subfield which is generalized from the concept of a complex fuzzy subfield by adding the notion of intuitionistic fuzzy into a complex fuzzy subfield. The main contribution and originality of this research are adding the non-membership term to the definition of a complex fuzzy subfield that assigns for any element a complex-valued grade. We expand the complex fuzzy subfield and obtain a new structure called CIFSF. This new concept is innovative in that it may attain a wider range of values for both membership and non-membership functions where these functions are expanded to the unit disc in the complex plane. Furthermore, we discuss that the direct product of two CIFSFs is CIFSF, and some related properties are investigated. In addition, we present the definition of necessity and possibility operators on the direct product of CIFSF, and some associated theorems are given. Finally, we propose the level subsets of the direct product of two complex intuitionistic fuzzy subsets of a field and prove that the level subset of the direct product of two CIFSFs is a subfield and discuss some related results.

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Direct product of finite anti fuzzy normal sub-rings over non-associative rings

Abstract: In this paper, we define the concept of direct product of finite anti fuzzy normal sub-rings over non-associative and noncommutative rings LA-rings and investigate the some fundamental properties of direct product of anti fuzzy normal subrings.

Cited by 2 publications

References 15 publications

Conormal Product for Intutionistic Anti-Fuzzy Graphs

Conormal Product for Intutionistic Anti-Fuzzy Graphs

A note on direct product of complex intuitionistic fuzzy subfield

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