Results on generalized fuzzy soft topological spaces | Zendy

H. Khedr F. | Zendy; A. Abd El-Baki S. | Zendy; S. Malfi M. | Zendy

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Results on generalized fuzzy soft topological spaces

Author(s) -

H. Khedr F.,

A. Abd El-Baki S.,

S. Malfi M.

Publication year - 2018

Publication title -

african journal of mathematics and computer science research

Language(s) - English

Resource type - Journals

ISSN - 2006-9731

DOI - 10.5897/ajmcsr2017.0694

Subject(s) - soft set , mathematics , fuzzy logic , fuzzy set operations , subspace topology , fuzzy classification , subbase , fuzzy set , fuzzy number , fuzzy mathematics , algebra over a field , topological space , discrete mathematics , computer science , pure mathematics , artificial intelligence , mathematical analysis , general topology , extension topology

In this manuscript, the concept of a generalized fuzzy soft point is introduced and some of its basic properties were studied. Also, the concepts of a generalized fuzzy soft base (subbase) and a generalized fuzzy soft subspace were introduced and some important theorems were established. Finally, the relationship between fuzzy soft set, intuitionistic fuzzy soft set, generalized fuzzy soft set and generalized intuitionistic fuzzy soft set were investigated. Key words: Fuzzy soft set, generalized fuzzy soft set, generalized fuzzy soft topology, generalized fuzzy soft base (subbase), generalized fuzzy soft subspace, intuitionistic fuzzy soft set.

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