scholarly journals On Intuitionistic Fuzzy Semi - Supra Open Set and Intuitionistic Fuzzy Semi - Supra Continuous Functions

2015 ◽  
Vol 47 ◽  
pp. 319-325 ◽  
Author(s):  
M. Parimala ◽  
C. Indirani
Keyword(s):  
Continuous Functions ◽  
Intuitionistic Fuzzy ◽  
Open Set

scholarly journals Contra-continuous functions and stronglyS-closed spaces

1996 ◽  
Vol 19 (2) ◽  
pp. 303-310 ◽  
Author(s):  
J. Dontchev
Keyword(s):  
Dense Subset ◽  
Continuous Functions ◽  
Closed Space ◽  
Closed Sets ◽  
Open Set ◽  
Locally Closed Sets ◽  
Continuous Images

In 1989 Ganster and Reilly [6] introduced and studied the notion ofLC-continuous functions via the concept of locally closed sets. In this paper we consider a stronger form ofLC-continuity called contra-continuity. We call a functionf:(X,τ)→(Y,σ)contra-continuous if the preimage of every open set is closed. A space(X,τ)is called stronglyS-closed if it has a finite dense subset or equivalently if every cover of(X,τ)by closed sets has a finite subcover. We prove that contra-continuous images of stronglyS-closed spaces are compact as well as that contra-continuous,β-continuous images ofS-closed spaces are also compact. We show that every stronglyS-closed space satisfies FCC and hence is nearly compact.

scholarly journals Lebesgue Measurability of Separately Continuous Functions and Separability

2007 ◽  
Vol 2007 ◽  
pp. 1-4
Author(s):  
V. V. Mykhaylyuk
Keyword(s):  
Topological Space ◽  
Chain Condition ◽  
Continuous Functions ◽  
Negative Answer ◽  
Regular Space ◽  
Property A ◽  
Completely Regular ◽  
Open Set ◽  
Countable Chain Condition ◽  
Countable Chain

A connection between the separability and the countable chain condition of spaces withL-property (a topological spaceXhasL-property if for every topological spaceY, separately continuous functionf:X×Y→ℝand open setI⊆ℝ,the setf−1(I)is anFσ-set) is studied. We show that every completely regular Baire space with theL-property and the countable chain condition is separable and constructs a nonseparable completely regular space with theL-property and the countable chain condition. This gives a negative answer to a question of M. Burke.

scholarly journals On Intuitionistic Fuzzy Slightly πgb-Continuous Functions

IARJSET ◽  
2017 ◽  
Vol 4 (1) ◽  
pp. 84-88
Author(s):  
Amal M. Al- Dowais ◽  
Abdul Gawad A. Q. Al-Qubati
Keyword(s):  
Continuous Functions ◽  
Intuitionistic Fuzzy

scholarly journals Intuitionistic Fuzzy Semiboundary and Intuitionistic Fuzzy Product Related Spaces

2012 ◽  
Vol 2 ◽  
pp. 57-69
Author(s):  
V. Thiripurasundari ◽  
S. Murugesan
Keyword(s):  
Continuous Functions ◽  
Intuitionistic Fuzzy

In this paper intuitionistic fuzzy semi boundary is introduced and its properties are investigated. Intuitionistic fuzzy semi continuous functions are characterized via intuitionistic fuzzy semi boundary.

scholarly journals Certain Concepts by Using ωpre-Open Sets

2019 ◽  
Vol 54 (6) ◽  
Author(s):  
Kasim Abbas Hussain ◽  
Haider Jebur Ali ◽  
Alaa Malik Soady
Keyword(s):  
Compact Space ◽  
Continuous Functions ◽  
Regular Space ◽  
Continuous Image ◽  
Open Set ◽  
The Relationship

The aim of this paper is to add new types of continuous functions and results in the specialization field, where we merge two important terms of open sets that are pre-open and ω-open to get a new set named ωp-open set, where we introduce new functions by using this set, such as Mωpc, ωpMc, ωpMωpc, ωp-continuous, ωp*-continuous, and ωp-irresolute function. We clarify the relationship between these types and illustrate their relationship with some other types of continuous functions. Also we define some new types of spaces such as, ωp-compact, ωp-Lindelöf, and Cωp-Lindelöf. In addition, we submit important results like, the ωp*-continuous image of compact space being ωp-compact, and if X is a ωp-regular space, hence it is Cωp-Lindelöf, as well as we provide the composition between most of the new functions that we defined. Many other results have been found in this our work and they are supported by many examples.

Onintuitionistic fuzzy-I-open sets, intuitionistic fuzzy semi-I-open sets and a decomposition of intuitionistic fuzzy-I-continuity

2021 ◽  
Vol 7 (4) ◽  
Keyword(s):  
Topological Spaces ◽  
New Class ◽  
Intuitionistic Fuzzy ◽  
Open Set ◽  
Fuzzy Ideal

In this paper, we introduce a new class of intuitionistic fuzzy ideal open sets in intuitionistic fuzzy ideal topological spaces; intuitionistic fuzzy-I-open set and intuitionistic fuzzy semi-I-open set and given a decomposition of fuzzy continuity.

scholarly journals On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Rajesh K. Thumbakara
Keyword(s):  
Frame Theory ◽  
Fuzzy Filter ◽  
Intuitionistic Fuzzy ◽  
Open Set ◽  
Fuzzy Filters ◽  
The Given

Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of intuitionistic fuzzy filters are shown to be filters of the given intuitionistic fuzzy coframe. It is shown that the collection of all intuitionistic fuzzy filters of a coframe and the collection of all intutionistic fuzzy quotient filters of an intuitionistic fuzzy filter are coframes.

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