A certain class of T-intuitionistic fuzzy subgroups

Muhammad Gulzar; Dilshad Alghazzawi; Muhammad Haris Mateen; Nasreen Kausar

doi:10.1109/ACCESS.2020.3020366

A certain class of T-intuitionistic fuzzy subgroups

Muhammad Gulzar^*
, Dilshad Alghazzawi
, Muhammad Haris Mateen
, Nasreen Kausar

^*Corresponding author for this work

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

60 Scopus citations

Abstract

In this study, the T-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The T-intuitionistic fuzzy centralizer is normal subgroup of T-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of T-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every T-intuitionistic fuzzy subgroup of Abelian (cyclic) group is T-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and pre-image of T-intuitionistic fuzzy Abelian (cyclic) subgroup are T-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism.

Original language	English
Pages (from-to)	163260-163268
Number of pages	9
Journal	IEEE Access
Volume	8
DOIs	https://doi.org/10.1109/ACCESS.2020.3020366
State	Published - 2020
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2020 Institute of Electrical and Electronics Engineers Inc.. All rights reserved.

Keywords

T-intuitionistic fuzzy abelian subgroup
T-intuitionistic fuzzy cyclic subgroup
T-intuitionistic fuzzy set
T-intuitionistic fuzzy subgroup

ASJC Scopus subject areas

General Computer Science
General Materials Science
General Engineering

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10.1109/ACCESS.2020.3020366

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title = "A certain class of T-intuitionistic fuzzy subgroups",

abstract = "In this study, the T-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The T-intuitionistic fuzzy centralizer is normal subgroup of T-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of T-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every T-intuitionistic fuzzy subgroup of Abelian (cyclic) group is T-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and pre-image of T-intuitionistic fuzzy Abelian (cyclic) subgroup are T-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism.",

keywords = "T-intuitionistic fuzzy abelian subgroup, T-intuitionistic fuzzy cyclic subgroup, T-intuitionistic fuzzy set, T-intuitionistic fuzzy subgroup",

author = "Muhammad Gulzar and Dilshad Alghazzawi and Mateen, \{Muhammad Haris\} and Nasreen Kausar",

year = "2020",

doi = "10.1109/ACCESS.2020.3020366",

language = "English",

volume = "8",

pages = "163260--163268",

journal = "IEEE Access",

issn = "2169-3536",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - A certain class of T-intuitionistic fuzzy subgroups

AU - Gulzar, Muhammad

AU - Alghazzawi, Dilshad

AU - Mateen, Muhammad Haris

AU - Kausar, Nasreen

PY - 2020

Y1 - 2020

N2 - In this study, the T-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The T-intuitionistic fuzzy centralizer is normal subgroup of T-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of T-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every T-intuitionistic fuzzy subgroup of Abelian (cyclic) group is T-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and pre-image of T-intuitionistic fuzzy Abelian (cyclic) subgroup are T-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism.

AB - In this study, the T-intuitionistic fuzzy normalizer and centralizer of t intuitionistic fuzzy subgroup are proposed. The T-intuitionistic fuzzy centralizer is normal subgroup of T-intuitionistic fuzzy normalizer and investigate various algebraic properties of this phenomena. We also introduce the concept of T-intuitionistic fuzzy Abelian and cyclic subgroups and prove that every T-intuitionistic fuzzy subgroup of Abelian (cyclic) group is T-intuitionistic fuzzy Abelian (cyclic) subgroup. We show that the image and pre-image of T-intuitionistic fuzzy Abelian (cyclic) subgroup are T-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism.

KW - T-intuitionistic fuzzy abelian subgroup

KW - T-intuitionistic fuzzy cyclic subgroup

KW - T-intuitionistic fuzzy set

KW - T-intuitionistic fuzzy subgroup

UR - https://www.scopus.com/pages/publications/85096302975

U2 - 10.1109/ACCESS.2020.3020366

DO - 10.1109/ACCESS.2020.3020366

M3 - Article

AN - SCOPUS:85096302975

SN - 2169-3536

VL - 8

SP - 163260

EP - 163268

JO - IEEE Access

JF - IEEE Access

ER -

A certain class of T-intuitionistic fuzzy subgroups

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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