scholarly journals On the Analysis and Computation of Topological Fuzzy Measure in Distributed Monoid Spaces

Symmetry ◽  
2018 ◽  
Vol 11 (1) ◽  
pp. 9 ◽  
Author(s):  
Susmit Bagchi
Keyword(s):  
Fuzzy Sets ◽  
Measure Space ◽  
Fuzzy Measure ◽  
Topological Spaces ◽  
Multivalued Logic ◽  
Fuzzy Measures ◽  
Fuzzy Topological Spaces

The computational applications of fuzzy sets are pervasive in systems with inherent uncertainties and multivalued logic-based approximations. The existing fuzzy analytic measures are based on regularity variations and the construction of fuzzy topological spaces. This paper proposes an analysis of the general fuzzy measures in n-dimensional topological spaces with monoid embeddings. The embedded monoids are topologically distributed in the measure space. The analytic properties of compactness and homeomorphic, as well as isomorphic maps between spaces, are presented. The computational evaluations are carried out with n = 1, considering a set of translation functions with different symmetry profiles. The results illustrate the dynamics of finite fuzzy measure in a monoid topological subspace.

scholarly journals Analysis of Topological Endomorphism of Fuzzy Measure in Hausdorff Distributed Monoid Spaces

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 671
Author(s):  
Susmit Bagchi
Keyword(s):  
Comparative Analysis ◽  
Topological Space ◽  
Fuzzy Sets ◽  
Fuzzy Measure ◽  
Topological Spaces ◽  
Algebraic Structures ◽  
Fuzzy Measures ◽  
And Topology ◽  
Analytical Properties ◽  
Topological Measures

The concepts of fuzzy sets and topology are widely applied to model various algebraic structures and computations. The dynamics of fuzzy measures in topological spaces having distributed monoid embeddings is an interesting topic in the presence of topological endomorphism. This paper presents the analysis of topological endomorphism and the properties of topological fuzzy measures in distributed monoid spaces. The topological space is considered to be Hausdorff and second countable in nature. The analysis of consistency of fuzzy measure in endomorphic topological spaces is formulated. The algebraic structures of endomorphic topological spaces having distributed cyclic monoids are constructed. The cyclic monoids contain specific generators, and a related cyclic topological endomorphism within the subspace is formulated. The analytical properties of fuzzy topological measures in the presence of cyclic topological endomorphism are presented. A comparative analysis of this proposed work with other related work in the domain is included.

Almost compact fuzzy sets in fuzzy topological spaces

1990 ◽  
Vol 38 (3) ◽  
pp. 389-396 ◽  
Author(s):  
M.N. Mukherjee ◽  
S.P. Sinha
Keyword(s):  
Fuzzy Sets ◽  
Topological Spaces ◽  
Fuzzy Topological Spaces

Intuitionistic Fuzzy γ-Continuity

2009 ◽  
Vol 52 (4) ◽  
pp. 544-554 ◽  
Author(s):  
I. M. Hanafy
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Topological Spaces ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Topological Spaces

AbstractThis paper introduces the concepts of fuzzy γ-open sets and fuzzy γ-continuity in intuitionistic fuzzy topological spaces. After defining the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy γ-open sets and intuitionistic fuzzy γ-continuity and other results related topological concepts.

scholarly journals Fuzzyθ-closure operator on fuzzy topological spaces

1991 ◽  
Vol 14 (2) ◽  
pp. 309-314 ◽  
Author(s):  
M. N. Mukherjee ◽  
S. P. Sinha
Keyword(s):  
Topological Space ◽  
Fuzzy Sets ◽  
Closure Operator ◽  
Topological Spaces ◽  
Separation Axioms ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

The paper contains a study of fuzzyθ-closure operator,θ-closures of fuzzy sets in a fuzzy topological space are characterized and some of their properties along with their relation with fuzzyδ-closures are investigated. As applications of these concepts, certain functions as well as some spaces satisfying certain fuzzy separation axioms are characterized in terms of fuzzyθ-closures andδ-closures.

scholarly journals Fuzzy Inverse Compactness

2008 ◽  
Vol 2008 ◽  
pp. 1-9
Author(s):  
Halis Aygün ◽  
A. Arzu Bural ◽  
S. R. T. Kudri
Keyword(s):  
Fuzzy Sets ◽  
Topological Spaces ◽  
Countable Compactness ◽  
Fuzzy Topological Spaces

We introduce definitions of fuzzy inverse compactness, fuzzy inverse countable compactness, and fuzzy inverse Lindelöfness on arbitrary -fuzzy sets in -fuzzy topological spaces. We prove that the proposed definitions are good extensions of the corresponding concepts in ordinary topology and obtain different characterizations of fuzzy inverse compactness.

Suitable interval-valued intuitionistic fuzzy topological spaces

2021 ◽  
pp. 1-11
Author(s):  
O.R. Sayed ◽  
N.H. Sayed ◽  
Gui-Xiu Chen
Keyword(s):  
Fuzzy Sets ◽  
Intuitionistic Fuzzy Sets ◽  
Topological Spaces ◽  
Fuzzy Topology ◽  
Intuitionistic Fuzzy ◽  
Set Operations ◽  
The Family ◽  
Fuzzy Topological Spaces ◽  
Interval Valued

In the present paper, a characterization of the intuitionistic fuzzy sets, the interval-valued intuitionistic fuzzy sets and their set-operations are given. By making use of these characterizations, the relationships between the interval-valued intuitionistic fuzzy topology and four fuzzy topologies associated to it are studied. For this reason, some subclasses of the family of interval-valued intuitionistic fuzzy topologies on a set which we call pre-suitable and suitable are introduced. Furthermore, the concepts of homeomorphism functions and compactness in the framework of interval-valued intuitionistic fuzzy topological spaces are introduced and studied.

scholarly journals On fuzzy generalized b- closed set in fuzzy topological spaces on fuzzy Sets

2014 ◽  
Vol 10 (6) ◽  
pp. 67-72
Author(s):  
Prof. Dr. Munir Abdul-Khalik ◽  
◽  
Al-Khafaji Jaafer Jabbar Cassem
Keyword(s):  
Fuzzy Sets ◽  
Topological Spaces ◽  
Closed Set ◽  
Fuzzy Topological Spaces

Characterization of Fuzzy δg*-Closed Sets in Fuzzy Topological Spaces

2016 ◽  
Vol 5 (2) ◽  
pp. 1-12
Author(s):  
Anahid Kamali ◽  
Hamid Reza Moradi
Keyword(s):  
Topological Space ◽  
Fuzzy Sets ◽  
Topological Spaces ◽  
Basic Properties ◽  
Closed Sets ◽  
Research Article ◽  
Classical Paper ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

The purpose of this research article is to explain the meaning of g-closed sets in fuzzy topological spaces, which is more understandable to the readers and we find some of its basic properties. The concept of fuzzy sets was introduced by Zadeh in his classical paper (1965). Thereafter many investigations have been carried out, in the general theoretical field and also in different applied areas, based on this concept. The idea of fuzzy topological space was introduced by Chang (1968). The idea is more or less a generalization of ordinary topological spaces. Different aspects of such spaces have been developed, by several investigators. This paper is also devoted to the development of the theory of fuzzy topological spaces.

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