On Fundamental Theorems of t-Intuitionistic Fuzzy Isomorphism of t-Intuitionistic Fuzzy Subgroups

Latif, Laila; Shuaib, Umer; Alolaiyan, Hanan; Razaq, Abdul

doi:10.1109/access.2018.2879712

Cited by 8 publications

(14 citation statements)

References 20 publications

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“…27 Latif et al explored basic theorems of

‐intuitionistic fuzzy isomorphism of

‐intuitionistic fuzzy subgroups. 28 …”

Section: Introductionmentioning

confidence: 99%

“…27 Latif et al explored basic theorems of t-intuitionistic fuzzy isomorphism of t-intuitionistic fuzzy subgroups. 28 Gulzar et al developed some classes of t-intuitionistic fuzzy subgroups, 29 and then determined the new applications of complex IFSs in group theory. 30 In fact, IFSs are helpful in advanced systems, systems theory, decision making, and so on.…”

Section: Introductionmentioning

confidence: 99%

“…The authors extended the Atanassov intuitionistic fuzzy grade of hypergroups, 25 the Atanassov intuitionistic

(S, T)

‐fuzzy

n

‐ary subhypergroups and their traits, 26 and the Atanassov intuitionistic fuzzy interior ideals of

normalΓ

‐semigroups 27 . Latif et al explored basic theorems of

t

‐intuitionistic fuzzy isomorphism of

t

‐intuitionistic fuzzy subgroups 28 …”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Intuitionistic fuzzy set of Γ‐submodules and its application in modeling spread of viral diseases, mutated COVID‐ n , via flights

Firouzkouhi

Amini

Cheng

et al. 2021

Int J of Intelligent Sys

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In this study, we generalize fuzzy ‐module, as intuitionistic fuzzy ‐submodule of ‐module (IF M), and utilize it for modeling the spread of coronavirus in air travels. Certain fundamental features of intuitionistic fuzzy ‐submodule are provided, and it is proved that IF M can be considered as a complete lattice. Some elucidatory examples are demonstrated to explain the properties of IF M. The relevance between the upper and lower ‐level cut and intuitionistic fuzzy ‐submodules are presented and the characteristics of upper and lower under image and inverse image of IF M are acquired. It is verified that the image and inverse image of intuitionistic fuzzy ‐submodule are preserved under the module homomorphism. The obtained IF M is used to model the aerial transition of viral diseases, that is, COVID‐ n , via flights.

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“…27 Latif et al explored basic theorems of

‐intuitionistic fuzzy isomorphism of

‐intuitionistic fuzzy subgroups. 28 …”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…The authors extended the Atanassov intuitionistic fuzzy grade of hypergroups, 25 the Atanassov intuitionistic

(S, T)

‐fuzzy

n

‐ary subhypergroups and their traits, 26 and the Atanassov intuitionistic fuzzy interior ideals of

normalΓ

‐semigroups 27 . Latif et al explored basic theorems of

t

‐intuitionistic fuzzy isomorphism of

t

‐intuitionistic fuzzy subgroups 28 …”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Intuitionistic fuzzy set of Γ‐submodules and its application in modeling spread of viral diseases, mutated COVID‐ n , via flights

Firouzkouhi

Amini

Cheng

et al. 2021

Int J of Intelligent Sys

View full text Add to dashboard Cite

show abstract

“…Alolaiyan and Abbas [26] established a stability of complete fuzzy hypergraphs and used it to find a safe and scientific way in CT scans. Latif et al [27] defined the fundamental theorem of tintuitionistic fuzzy isomorphism in 2019. Many interesting results about complex intuitionistic fuzzy graph and cellular network provider companies were presented in [28].…”

Section: Introductionmentioning

confidence: 99%

A Novel Applications of Complex Intuitionistic Fuzzy Sets in Group Theory

et al. 2020

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In this paper, we initiate the novel concept of complex intuitionistic fuzzy subgroups and prove that every complex intuitionistic fuzzy subgroup generates two intuitionistic fuzzy subgroups. We extend this ideology to define the concept of level subsets of complex intuitionistic fuzzy set and discuss its various fundamental algebraic characteristics. We also show that the level subset of the complex intuitionistic fuzzy subgroups is a subgroup. Furthermore, we investigate the homomorphic image and preimage of complex intuitionistic fuzzy subgroup under group homomorphism. Moreover, we prove that the product of two complex intuitionistic fuzzy subgroups is also a complex intuitionistic fuzzy subgroup and develop some new results about direct product of complex intuitionistic fuzzy subgroups.INDEX TERMS Complex intuitionistic fuzzy set, Complex intuitionistic fuzzy subgroup, Level subsets, Product of complex intuitionistic fuzzy sets, Product of complex intuitionistic fuzzy subgroups.

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“…Solairaju and Mahalakshmi [34] investigated some characterization of hesitant intuitionistic fuzzy soft set and presented the idea hesitant intuitionistic fuzzy soft group. Latif et al [35] made remarkable effort to extend the notion of t-intuitionistic fuzzy sets in group theory and proved fundamental theorem of t-intuitionistic fuzzy isomorphism. Many interesting results about complex intuitionistic fuzzy graph and cellular network provider companies were presented in [36].…”

Section: Introductionmentioning

confidence: 99%

A Certain Class of t-Intuitionistic Fuzzy Subgroups

et al. 2020

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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 preimage of t-intuitionistic fuzzy Abelian (cyclic) subgroup are t-intuitionistic fuzzy Abelian (cyclic) subgroup under group homomorphism. INDEX TERMS t-intuitionistic fuzzy set, t-intuitionistic fuzzy subgroup, t-intuitionistic fuzzy Abelian subgroup, t-intuitionistic fuzzy cyclic subgroup AMS(MOS) Subject Classifications: 03F55, 08A72, 20N25

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On Fundamental Theorems of t-Intuitionistic Fuzzy Isomorphism of t-Intuitionistic Fuzzy Subgroups

Cited by 8 publications

References 20 publications

Intuitionistic fuzzy set of Γ‐submodules and its application in modeling spread of viral diseases, mutated COVID‐ n , via flights

Intuitionistic fuzzy set of Γ‐submodules and its application in modeling spread of viral diseases, mutated COVID‐ n , via flights

A Novel Applications of Complex Intuitionistic Fuzzy Sets in Group Theory

A Certain Class of t-Intuitionistic Fuzzy Subgroups

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