Irresolute Mappings Research Articles

Fuzzy rg-Super Irresolute Mapping

In this paper the concept of fuzzy rg -super irresolute mappings have been introduced and explore some of its basic properties in fuzzy Topological Space.

Fine-irresolute Mappings

AbstractIn the present paper, we have defined a wide class of sets by using thetopology of the space X, which we call a class of fine-open sets. This newcollection contains open sets, -open sets, -open sets, pre-open sets andsemi-open sets. In view of this class of fine-open sets, we have defined afine-irresolute mapping which may be used in some branches of quantumphysics where the homeomorphic images of the given sets are required withhigh accuracy. Using our idea of fine-open sets, we have also defined aclass of various continuous functions like fine-continuous, f-continuous, fcontinuous,sf-continuous, pf-continuous, ff-continuous, ff-continuous,fsf-continuous, fpf-continuous, sf-irresolute, pf-irresolute and studied theirproperties. Our new class contains several continuous functions which are alreadydefined (cf. [Maheshwari S. N. and Thakur S. S., On -irresolute mappings,Tamkang J. Math ., 11(1980), 209 ? 214], [Beceren Y. and Noiri T.,Strongly precontinuous functions. Acta. Math., Hunger, 108(1 ? 2)(2005),147 ? 53]).

α-Irresoluteness and α-compactness based on continuous valued logic

Abstract This paper considers fuzzifying topologies, a special case of I -fuzzy topologies (bifuzzy topologies), introduced by Ying [1] . It investigates topological notions defined by means of α -open sets when these are planted into the framework of Ying’s fuzzifying topological spaces (by Łukasiewicz logic in [0, 1]) . The concept of α -irresolute functions and α -compactness in the framework of fuzzifying topology are introduced and some of their properties are obtained. We use the finite intersection property to give a characterization of fuzzifying α -compact spaces. Furthermore, we study the image of fuzzifying α -compact spaces under fuzzifying α -continuity and fuzzifying α -irresolute maps.

Intuitionistic fuzzy semi-generalized irresolute mappings

The purpose of this paper is to introduce and study the concepts of intuitionistic fuzzy semi-generalized continuous mappings and intuitionistic fuzzy semi-generalized irresolute mappings in intuitionistic fuzzy topological space.

Fuzzy g Pre- Continuous Maps in Fuzzy Topological Spaces

A new form of fuzzy g*p-continuous, fuzzy g*p- irresolute mappings, fuzzy g*p-closed maps and fuzzy g*p- open maps in fuzzy topological spaces are introduced and their properties have been investigated. As an application of these mappings Tp-spaces,gp-homeomorphism are introduced and investigated.

INTERVAL-VALUED FUZZY IRRESOLUTE MAPPINGS ON INTERVAL-VALUED FUZZY TOPOLOGICAL SPACES

We introduce the concepts of IVF irresolute mappings and IVF irresolute open mappings, and investigate characterizations for such mappings on the interval-valued fuzzy topological spaces.

Fuzzy Strongly (r,s)-Irresolute Mappings 관한 연구

fuzzy stromgly (r,s)-irresolute 함수, fuzzy strongly (r,s)-irresolute 반열린 함수의 개념을 소개하며 특성들을 조사한다. In this paper, we introduce the concepts of fuzzy strongly (r,s)-irresolute mappings and fuzzy strongly (r,s)-irresolute semiopen mappings and investigate some properties of such mappings.

Generalized Λδ-Sets and Related Topics

In this paper we define the concepts of g -Λ δ -continuous maps, g -Λ δ -irresolute maps and g -V δ -closed maps by using generalized Λ δ -sets and generalized V δ -sets. Also we introduce a new class of topological spaces called T V δ -spaces.

Optimality of mappings and some separation axioms

Optimal mappings and optimally irresolute mappings are introduced. Fundamental properties of them are obtained. Preservation of well-known separation axioms (semi-ℐ2, ℐ2, semi-normality, normality, s-regularity, regularity) under such types of mappings (with some additional conditions) is studied.

Some weakly mappings on intuitionistic fuzzy topological spaces

In this paper, we shall introduce concepts of fuzzy semiopen set, fuzzy semiclosed set, fuzzy semiinterior, fuzzy semiclosure on intuitionistic fuzzy topological space and fuzzy open (fuzzy closed) mapping, fuzzy irresolute mapping, fuzzy irresolute open (closed) mapping, fuzzy semicontinuous mapping and fuzzy semiopen (semiclosed) mapping between two intuitionistic fuzzy topological spaces. Moreover, we shall discuss their some properties.

Fuzzy(r,s)-irresolute maps

Using the idea of degree of openness and degree of nonopenness, Coker and Demirci [5] defined intuitionistic fuzzy topological spaces in Sostak's sense as a generalization of smooth topological spaces and intuitionistic fuzzy topological spaces. M. N. Mukherjee and S. P. Sinha [10] introduced the concept of fuzzy irresolute maps on Chang's fuzzy topological spaces. In this paper, we introduce the concepts of fuzzy (r,s)-irresolute, fuzzy (r,s)-presemiopen, fuzzy almost (r,s)-open, and fuzzy weakly (r,s)-continuous maps on intuitionistic fuzzy topological spaces in Sostak's sense. Using the notions of fuzzy (r,s)-neighborhoods and fuzzy (r,s)-semineighborhoods of a given intuitionistic fuzzy points, characterizations of fuzzy (r,s)-irresolute maps are displayed. The relations among fuzzy (r,s)-irresolute maps, fuzzy (r,s)-continuous maps, fuzzy almost (r,s)-continuous maps, and fuzzy weakly (r,s)-cotinuous maps are discussed.

On some characterizations of vividly and blurry (l,2)-β-irresolute mappings

The aim of this paper is to introduce and characterize the vividly (1, 2)-?-irresolute mapping and blurry (1, 2)-?-irresolute mapping. We also define (1, 2)-?-T2 spaces and (1, 2)-semi-preregular spaces. These spaces are characterized by a new class of open sets, called (1,2)-semipre-?-open sets. .

Weak and strong forms of α-irresolute maps

Abstract In this paper we consider new weak and stronger forms of α -irresoluteness and α -closureness via the concept of g α -closed sets which we call ap- α -irresolute maps, ap- α -closed maps and contra- α -irresolute and we use it to obtain a characterization of α -T 1/2 spaces.

Weak and strong forms of irresolute maps

We consider new weak and stronger forms of irresolute and semi‐closure via the concept sg‐closed sets which we call ap‐irresolute maps, ap‐semi‐closed maps and contra‐irresolute and use it to obtain a characterization of semi‐T1/2 spaces.