Generalized e-closed sets and generalized e-continuity in intuitionistic fuzzy topology

Thakur, Sneha; Rathor, Chandra Prakash; Thakur, Mahima

doi:10.22436/jmcs.025.03.02

Cited by 2 publications

(2 citation statements)

References 9 publications

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“…Like intuitionistic fuzzy metric space, there can be available intuitionistic fuzzy subalgebras and intuitionistic fuzzy ideals of Hilbert algebras along with their wonderful properties [32] in the fuzzy world.…”

Section: Discussionmentioning

confidence: 99%

A Study on Hutchinson-Barnsley Theory in Product Intuitionistic Fuzzy Fractal Space

Priya,

Uthayakumar

2023

Fuzzy Information and Engineering

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This work constitutes classical Hutchinson-Barnsley theory on the product intuitionistic fuzzy fractal space with the aid of iterated function system, in which a finite number of intuitionistic fuzzy B-contractions and intuitionistic fuzzy Edelstein contractions are enclosed. A fixed point theorem is exhibited by proving that the Hutchinson-Barnsley operator is an intuitionistic fuzzy B-contraction and intuitionistic fuzzy Edelstein contraction. To show the primary goal of the article, the Hausdorff product intuitionistic fuzzy metric space is constructed, then the notion of product intuitionistic fuzzy metric space on complete and compact spaces in the sense of intuitionistic fuzzy B-contraction and the intuitionistic fuzzy Edelstein contraction are defined.

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Section: Discussionmentioning

confidence: 99%

A Study on Hutchinson-Barnsley Theory in Product Intuitionistic Fuzzy Fractal Space

Priya,

Uthayakumar

2023

Fuzzy Information and Engineering

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“…The basic results and notions that we need in the next sections are found in [29][30][31][39][40][41].…”

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confidence: 99%

A Novel Types of Fuzzy Closed Sets, Separation Axioms, and Compactness via Double Fuzzy Topologies

Alsharari,

Alqurashi,

Taha

2024

Preprint

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In this article, we first defined a stronger form of (r,s)-generalized fuzzy semi-closed sets (briefly, (r,s)-gfsc sets) called (r,s)-g*fsc sets and investigated some of its features. Moreover, we showed that (r,s)-fsc set → (r,s)-g*fsc set → (r,s)-gfsc set, but the converse may not be true. In addition, we explored novel types of fuzzy generalized mappings between double fuzzy topological spaces (U, τ, τ*) and (V, η, η*), and the relationships between these classes of mappings were examined with the help of some illustrative examples. Thereafter, we introduced novel types of higher separation axioms called (r,s)-GFS-regular and (r,s)-GFS-normal spaces with the help of (r,s)-gfsc sets and discussed some topological properties of them. Finally, some novel types of compactness via (r,s)-gfso sets were defined and the relationships between them were introduced.

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Generalized e-closed sets and generalized e-continuity in intuitionistic fuzzy topology

Cited by 2 publications

References 9 publications

A Study on Hutchinson-Barnsley Theory in Product Intuitionistic Fuzzy Fractal Space

A Study on Hutchinson-Barnsley Theory in Product Intuitionistic Fuzzy Fractal Space

A Novel Types of Fuzzy Closed Sets, Separation Axioms, and Compactness via Double Fuzzy Topologies

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