On generalised fuzzy soft topological spaces | Zendy

P Chakraborty R | Zendy; Priyajit Mukherjee | Zendy

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On generalised fuzzy soft topological spaces

Author(s) -

P Chakraborty R,

Priyajit Mukherjee

Publication year - 2015

Publication title -

african journal of mathematics and computer science research

Language(s) - English

Resource type - Journals

ISSN - 2006-9731

DOI - 10.5897/ajmcsr2014.0562

Subject(s) - mathematics , fuzzy logic , fuzzy set operations , topological space , fuzzy classification , defuzzification , intersection (aeronautics) , soft set , fuzzy number , topology (electrical circuits) , fuzzy set , computer science , discrete mathematics , artificial intelligence , combinatorics , aerospace engineering , engineering

In this paper, union, and intersection of generalised fuzzy soft sets are introduced and some of their basic properties are studied. The objective of this paper is to introduce the generalised fuzzy soft topology over a soft universe with a fixed set of parameters. Generalised fuzzy soft points, generalised fuzzy soft closure, generalised fuzzy soft neighbourhood, generalised fuzzy soft interior, generalised fuzzy soft base are introduced and their basic properties are investigated. Finally, generalised fuzzy soft compact spaces are introduced and a few basic properties are taken up for consideration. Key words: Fuzzy soft set, generalised fuzzy soft set, generalised fuzzy soft topology, generalised fuzzy soft open sets, generalised fuzzy soft closed sets, generalised fuzzy soft topological spaces, generalised fuzzy soft compact spaces.

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