Lower Set-Valued Fuzzy Topologies

Kubiak, Tomasz; Šostak, Alexander

doi:10.1080/16073606.1997.9632016

Cited by 56 publications

(34 citation statements)

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“…Chang [3] introduced the concept of fuzzy topology in terms of fuzzy sets defined by Zadeh. Kubiak [10] andŠostak [15] also introduced the fundamental concept of a fuzzy topological structure. Chattopadhyay et al [4] have redefined the same concept under the name gradation of openness.…”

Section: Introductionmentioning

confidence: 99%

FUZZY $(r, s)$-MINIMAL SEMIOPEN SETS AND FUZZY $(r, s)$-$M$ SEMICONTINUOUS MAPPINGS ON FUZZY $(r, s)$-MINIMAL SPACES

Kim¹,

Min²

2014

Int. J. of Pure and Appl. Math.

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Section: Introductionmentioning

confidence: 99%

FUZZY $(r, s)$-MINIMAL SEMIOPEN SETS AND FUZZY $(r, s)$-$M$ SEMICONTINUOUS MAPPINGS ON FUZZY $(r, s)$-MINIMAL SPACES

Kim¹,

Min²

2014

Int. J. of Pure and Appl. Math.

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“…It has been developed in many directions by many authors. For example see [8,16]. Ramadan [23] gave a similar definition of fuzzy topology on a fuzzy set in Šostak's sense and called by the name "smooth fuzzy topological space".…”

Section: Introductionmentioning

confidence: 99%

Some Weaker Forms of Smooth Fuzzy Continuous Functions

Chandran¹,

Roopkumar²

2017

Contributions

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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 -closure, -interior, etc., and present all possible relations among these types of continuities. Next, we introduce the concepts of α-quasi-coincidence, -pre-neighborhood, -pre-closure and -pre-continuous function in smooth fuzzy topological spaces and investigate the equivalent conditions of -pre-continuity.

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“…Fuzzy sets have applications in many fields such as information [14] and control [17]. The theory of fuzzy topological spaces was introduced and developed by Chang [2] and since then various notions in classical topology have been extended to fuzzy topological spaces.Šostak [15] and Kubiak [10] introduced the fuzzy topology as an extension of Chang's fuzzy topology. It has been developed in many directions.Šostak [16] also published a survey article of the developed areas of fuzzy topological spaces.…”

Section: Introductionmentioning

confidence: 99%

Weakly semi-preopen and semi-preclosed functions in L-fuzzy topological spaces

Ghareeb

2012

Soft Comput

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A new class of functions called L-fuzzy weakly Semi-Preopen (Semi-Preclosed) functions in Lfuzzy topological spaces are introduced in this paper. Some characterizations of this class and its properties and the relationship with other classes of functions between L-fuzzy topological spaces are also obtained.keywords: L-fuzzy topology; L-fuzzy weakly Semi-Preopen function; L-fuzzy weakly Semi-Preclosed function.

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Lower Set-Valued Fuzzy Topologies

Cited by 56 publications

References 5 publications

FUZZY $(r, s)$-MINIMAL SEMIOPEN SETS AND FUZZY $(r, s)$-$M$ SEMICONTINUOUS MAPPINGS ON FUZZY $(r, s)$-MINIMAL SPACES

FUZZY $(r, s)$-MINIMAL SEMIOPEN SETS AND FUZZY $(r, s)$-$M$ SEMICONTINUOUS MAPPINGS ON FUZZY $(r, s)$-MINIMAL SPACES

Some Weaker Forms of Smooth Fuzzy Continuous Functions

Weakly semi-preopen and semi-preclosed functions in L-fuzzy topological spaces

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