Generalized direct product of complex intuitionistic fuzzy subrings

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

doi:10.2991/ijcis.d.210106.001

Generalized direct product of complex intuitionistic fuzzy subrings

Muhammad Gulzar, M. Haris Mateen, Yu Ming Chu^*, Dilshad Alghazzawi, Ghazanfar Abbas

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The objective of this article is to present the notion of direct product of two complex intuitionistic fuzzy subrings. We show that the direct product of two complex intuitionistic fuzzy subrings is also complex intuitionistic fuzzy subring and discuss its various algebraic aspects. We also define the level subsets of the direct product of two complex intuitionistic fuzzy subsets and prove that the level subset of the direct product of two complex intuitionistic fuzzy subring is subring and prove some fundamental result of this phenomena. We show that the homomorphic image (preimage) of the direct product of complex intuitionistic fuzzy subrings is a complex intuitionistic fuzzy subring by using the notion of classical homomorphism.

Original language	English
Pages (from-to)	582-593
Number of pages	12
Journal	International Journal of Computational Intelligence Systems
Volume	14
Issue number	1
DOIs	https://doi.org/10.2991/ijcis.d.210106.001
State	Published - 2021
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2021 The Authors. Published by Atlantis Press B.V.

Keywords

Complex intuitionistic fuzzy sets
Complex intuitionistic fuzzy subrings
Fuzzy subsets
Level subsets of complex intuitionistic fuzzy subset
Product of complex intuitionistic
Product of complex intuitionistic fuzzy subrings

ASJC Scopus subject areas

General Computer Science
Computational Mathematics

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10.2991/ijcis.d.210106.001

Cite this

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title = "Generalized direct product of complex intuitionistic fuzzy subrings",

abstract = "The objective of this article is to present the notion of direct product of two complex intuitionistic fuzzy subrings. We show that the direct product of two complex intuitionistic fuzzy subrings is also complex intuitionistic fuzzy subring and discuss its various algebraic aspects. We also define the level subsets of the direct product of two complex intuitionistic fuzzy subsets and prove that the level subset of the direct product of two complex intuitionistic fuzzy subring is subring and prove some fundamental result of this phenomena. We show that the homomorphic image (preimage) of the direct product of complex intuitionistic fuzzy subrings is a complex intuitionistic fuzzy subring by using the notion of classical homomorphism.",

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doi = "10.2991/ijcis.d.210106.001",

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AU - Gulzar, Muhammad

AU - Mateen, M. Haris

AU - Chu, Yu Ming

AU - Alghazzawi, Dilshad

AU - Abbas, Ghazanfar

PY - 2021

Y1 - 2021

N2 - The objective of this article is to present the notion of direct product of two complex intuitionistic fuzzy subrings. We show that the direct product of two complex intuitionistic fuzzy subrings is also complex intuitionistic fuzzy subring and discuss its various algebraic aspects. We also define the level subsets of the direct product of two complex intuitionistic fuzzy subsets and prove that the level subset of the direct product of two complex intuitionistic fuzzy subring is subring and prove some fundamental result of this phenomena. We show that the homomorphic image (preimage) of the direct product of complex intuitionistic fuzzy subrings is a complex intuitionistic fuzzy subring by using the notion of classical homomorphism.

AB - The objective of this article is to present the notion of direct product of two complex intuitionistic fuzzy subrings. We show that the direct product of two complex intuitionistic fuzzy subrings is also complex intuitionistic fuzzy subring and discuss its various algebraic aspects. We also define the level subsets of the direct product of two complex intuitionistic fuzzy subsets and prove that the level subset of the direct product of two complex intuitionistic fuzzy subring is subring and prove some fundamental result of this phenomena. We show that the homomorphic image (preimage) of the direct product of complex intuitionistic fuzzy subrings is a complex intuitionistic fuzzy subring by using the notion of classical homomorphism.

KW - Complex intuitionistic fuzzy sets

KW - Complex intuitionistic fuzzy subrings

KW - Fuzzy subsets

KW - Level subsets of complex intuitionistic fuzzy subset

KW - Product of complex intuitionistic

KW - Product of complex intuitionistic fuzzy subrings

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Generalized direct product of complex intuitionistic fuzzy subrings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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