On Intuitionistic Fuzzy Filters of Intuitionistic Fuzzy Coframes
Author(s) -
Rajesh K. Thumbakara
Publication year - 2013
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2013/793824
Subject(s) - mathematics , quotient , fuzzy logic , filter (signal processing) , fuzzy set , frame (networking) , pure mathematics , discrete mathematics , algebra over a field , artificial intelligence , computer science , computer vision , telecommunications
Frame theory is the study of topology based on its open set lattice, and it was studied extensively by various authors. In this paper, we study quotients of intuitionistic fuzzy filters of an intuitionistic fuzzy coframe. The quotients of intuitionistic fuzzy filters are shown to be filters of the given intuitionistic fuzzy coframe. It is shown that the collection of all intuitionistic fuzzy filters of a coframe and the collection of all intutionistic fuzzy quotient filters of an intuitionistic fuzzy filter are coframes
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