ON THE CONVERGENCE STRUCTURE OF L-TOPOLOGICAL SPACES AND THE CONTINUITY IN L-TOPOLOGICAL SPACES

2007 ◽  
Vol 03 (01) ◽  
pp. 1-25 ◽  
Author(s):  
MUSTAFA DEMİRCİ
Keyword(s):  
Complete Lattice ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Binary Operations ◽  
Comprehensive Theory ◽  
Convergence Structure ◽  
Fuzzy Topological Spaces

A general and a comprehensive theory of fuzzy topological spaces on the basis of a fixed quadruple M = (L, ≤, ⊗, *), where (L, ≤), ⊗ and *, respectively, denote a complete lattice and binary operations on L satisfying some further axioms, was introduced by Höhle and Šostak. L-topological spaces, convergence structure of L-topological spaces and L-continuous functions form an important part of their work. The present paper continues the study in this area, and provides new results on the convergence structure of L-topological spaces and the continuity in L-topological spaces.

scholarly journals Convergence Classes of L -Filters in L , M -Fuzzy Topological Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Ting Yang ◽  
Sheng-Gang Li ◽  
William Zhu ◽  
Xiao-Fei Yang ◽  
Ahmed Mostafa Khalil
Keyword(s):  
Topological Spaces ◽  
Convergence Spaces ◽  
Topological Convergence ◽  
Convergence Structure ◽  
Fuzzy Topological Spaces ◽  
The Relationship

An L , M -fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L -filter (of crisp degree) on X to be convergent to a molecule in L X . By means of L , M -fuzzy topological neighborhood operators, we show that the category of L , M -fuzzy topological convergence spaces is isomorphic to the category of L , M -fuzzy topological spaces. Moreover, two characterizations of L -topological spaces are presented and the relationship with other convergence spaces is concretely constructed.

ON ALMOST COMPACTNESS AND NEAR COMPACTNESS IN L-TOPOLOGICAL SPACES

2009 ◽  
Vol 05 (02) ◽  
pp. 385-395
Author(s):  
SADIK BAYHAN
Keyword(s):  
Complete Lattice ◽  
Topological Spaces ◽  
Binary Operations

The present paper studies several compactness and continuity notions based on the quadruple M = (L,≤,⊗,*), where (L,≤), ⊗ and * respectively denote a complete lattice and binary operations on L, satisfying some further axioms, was introduced by Höhle and Sostak.1,2

scholarly journals Fine Fuzzy sp Closed Sets in Fine Fuzzy Topological Spaces

2020 ◽  
Vol 9 (3) ◽  
pp. 1306-1313
Keyword(s):  
Continuous Function ◽  
Topological Space ◽  
Inverse Image ◽  
Continuous Functions ◽  
Topological Spaces ◽  
The Novel ◽  
Closed Set ◽  
Closed Sets ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces

The main view of this article is the extended version of the fine topological space to the novel kind of space say fine fuzzy topological space which is developed by the notion called collection of quasi coincident of fuzzy sets. In this connection, fine fuzzy closed sets are introduced and studied some features on it. Further, the relationship between fine fuzzy closed sets with certain types of fine fuzzy closed sets are investigated and their converses need not be true are elucidated with necessary examples. Fine fuzzy continuous function is defined as the inverse image of fine fuzzy closed set is fine fuzzy closed and its interrelations with other types of fine fuzzy continuous functions are obtained. The reverse implication need not be true is proven with examples. Finally, the applications of fine fuzzy continuous function are explained by using the composition.

scholarly journals SOME WEAKER FORMS OF SMOOTH FUZZY CONTINUOUS FUNCTIONS

2017 ◽  
Vol 36 (2) ◽  
Author(s):  
Chandran Kalaivani ◽  
Rajakumar Roopkumar
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
Topological Spaces ◽  
Proper Functions ◽  
Fuzzy Topological Spaces ◽  
Equivalent Conditions

In this paper we introduce various notions of continuous fuzzy proper functions by using the existing notions of fuzzy closure and fuzzy interior operators like 𝑅𝜏𝑟-closure, 𝑅𝜏𝑟-interior, etc., and present all possible relations among these types of continuities. Next, we introduce the concepts of α-quasi-coincidence, 𝑞𝛼𝑟-pre-neighborhood, 𝑞𝛼𝑟-pre-clo-sure and 𝑞𝛼𝑟- pre-continuous function in smooth fuzzy topological spaces and investigate the equivalent conditions of 𝑞𝛼𝑟- pre-continuity.

scholarly journals Certain Features of Fuzzy Contra-continuous functions

1970 ◽  
Vol 32 (1) ◽  
pp. 71-77
Author(s):  
MH Rashid ◽  
DM Ali
Keyword(s):  
Compact Space ◽  
Continuous Functions ◽  
Subject Classification ◽  
Topological Spaces ◽  
Fuzzy Graph ◽  
Closed Space ◽  
Ams Subject Classification ◽  
Fuzzy Topological Spaces ◽  
Academy Of Sciences

We deal with fuzzy topological spaces, fuzzy compact space, fuzzy S-closed space, fuzzy graph, fuzzy continuous functions and fuzzy LC-continuous functions. In this paper, we introduce the concepts of fuzzy contra-continuities and explore properties and relationships of such types of functions. Keywords: fuzzy contra-continuity, fuzzy S-closed space, fuzzy graph. AMS Subject Classification: 54A40. doi: 10.3329/jbas.v32i1.2444 Journal of Bangladesh Academy of Sciences, Vol. 32, No. 1, 71-77, 2008

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