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Abstract
The notions of continuity was generalized in the fuzzy setting by Chang (1968). Later on Azad (1981) introduced some weaker form of fuzzy continuity like fuzzy almost continuity, fuzzy semi-continuity and fuzzy weak continuity. These are natural generalization of the corresponding weaker forms of continuity in topological spaces. Recently Arya and Singal (2001a and b) introduce another weaker form of fuzzy continuity, namely fuzzy subweakly continuity as a natural generalization of subweak continuity introduced by Rose (1984). In this paper we introduce fuzzy weak continuity in mixed fuzzy topological space.
Highlights
Funções contínuas fracas sobre espaços topológicos difusos misturadosAs noções de continuidade foram generalizados no ambiente difuso de Chang (1968)
The notion of topological space has been generalized in many ways
Mixed topology lies in the theory of strict topology of the spaces of continuous functions on locally compact spaces
Summary
As noções de continuidade foram generalizados no ambiente difuso de Chang (1968). Mais tarde, Azad (1981) apresentou formas mais fracas de continuidade difusa, como continuidade quase difusa, semi-continuidade difusa e continuidade difusa fraca. São generalizações naturais das formas correspondentes de continuidades mais fracas em espaços topológicos. Recentemente, Arya e Singal (2001a e b) apresentaram uma outra forma mais fraca de continuidade difusa, ou seja, continuidade subfraca difusa como uma generalização natural da continuidade sub-fraca de Rose (1984). Apresenta-se nesse trabalho a continuidade fraca difusa no espaço topológico difuso misto. Palavras-chave: continuidade fraca difusa, ponto difuso, espaço topológico difuso misto, sub-espaço difuso
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