A Certain Class of t-Intuitionistic Fuzzy Subgroups

被引：47

作者：

Gulzar, Muhammad ^{[1
]}

Alghazzawi, Dilshad ^{[2
]}

Mateen, Muhammad Haris ^{[3
]}

Kausar, Nasreen ^{[4
]}

机构：

[1] Govt Coll Univ Faisalabad, Dept Math, Faisalabad 38000, Pakistan

[2] King Abdulaziz Univ, Dept Math, Rabigh 21589, Saudi Arabia

[3] Univ Punjab, Dept Math, Lahore 54590, Pakistan

[4] Univ Agr Faisalabad, Dept Math, Faisalabad 38000, Pakistan

来源：

IEEE ACCESS | 2020年 / 8卷

关键词：

t-intuitionistic fuzzy set; t-intuitionistic fuzzy subgroup; t-intuitionistic fuzzy Abelian subgroup; t-intuitionistic fuzzy cyclic subgroup;

D O I：

10.1109/ACCESS.2020.3020366

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：163260 / 163268

页数：9

共 41 条

[1] Aggregation of infinite chains of intuitionistic fuzzy sets and their application to choices with temporal intuitionistic fuzzy information [J].

Alcantud, Jose Carlos R. ;

Khameneh, Azadeh Zahedi ;

Kilicman, Adem .

INFORMATION SCIENCES, 2020, 514 :106-117

[2] Some Operations on Complex Atanassov's Intuitionistic Fuzzy Sets [J].

Alkouri, Abd Ulazeez M. ;

Salleh, Abdul Razak .

2013 UKM FST POSTGRADUATE COLLOQUIUM, 2013, 1571 :987-993

[3] Complex Atanassov's Intuitionistic Fuzzy Relation [J].

Alkouri, Abd Ulazeez M. ;

Salleh, Abdul Razak .

ABSTRACT AND APPLIED ANALYSIS, 2013,

[4] Complex Intuitionistic Fuzzy Sets [J].

Alkouri, Abdulazeez S. ;

Salleh, Abdul Razak .

INTERNATIONAL CONFERENCE ON FUNDAMENTAL AND APPLIED SCIENCES 2012 (ICFAS2012), 2012, 1482 :464-470

[5] t-Intuitionistic Fuzzification of Lagranges Theorem of t-Intuitionistic Fuzzy Subgroup [J].

Alolaiyan, Hanan ;

Shuaib, Umer ;

Latif, Laila ;

Razaq, Abdul .

IEEE ACCESS, 2019, 7 :158419-158426

[6]

Alsarahead M. O., 2017, The Borneo Review of Medical Sciences, V38, P24

[7]

Anandh B., 2017, Adv. Fuzzy Math., V12, P1007

[8]

Atanassov KT, 2012, STUD FUZZ SOFT COMP, V283, P1, DOI 10.1007/978-3-642-29127-2

[9] INTUITIONISTIC FUZZY-SETS [J].

ATANASSOV, KT .

FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96

[10]

Azam F.A., 2013, Ann. Fuzzy Math. Inform., V25, P349

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