Induced fuzzy supra-topological spaces

Bhaumik, R. N.; Mukherjee, Anjan

doi:10.1016/s0165-0114(96)00115-7

Cited by 2 publications

(2 citation statements)

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“…The concept of induced fuzzy supra topological space introduced by Bhaumik and Mukherjee [7], was defined with the notion of s-lower semi continuous functions. The class of b-open sets in the sense of Andrijevic [2] was discussed by El-Atik [10] under the name of -open sets.…”

Section: Introductionmentioning

confidence: 99%

“…(k) Let (X,) be a topological space. The family of all s-lower semi continuous functions from this topological space (X,) to the closed unit interval I form a fuzzy supra topology on X [7]. (l) The fuzzy supra topology obtained in above is called induced fuzzy supra topology [7] and the space (X,S ()) is called the induced fuzzy supra topological space.…”

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confidence: 99%

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On ?-Induced Fuzzy Supra Topological Spaces and Fuzzy Supra ?-S-closed Spaces

Bhattacharya¹,

Biswas²

2013

IJCA

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The aim of this paper is to study some properties of -induced fuzzy supra topological spaces by utilizing -lower semicontinuous functions. Next the connection between properties of a topological space (X,T) and -induced fuzzy supra topological space (X,S  ()) are studied. Finally the concept of fuzzy supra -S-closed space with the notion of fuzzy supra -semi open set are introduced. General Terms Fuzzy Topological Spaces KeywordsTopology, Induced fuzzy topology, -induced fuzzy supra topological space, fuzzy supra -semi open set, fuzzy supra -S-closed space.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%