A categorical approach to graded fuzzy topological system and fuzzy geometric logic with graded consequence. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Jana, Purbita; Chakraborty, Mihir K.
• Is Part Of: Journal of applied non-classical logics. Volume 32:Issue 1(2022)
• Page Start: 11
• Page End: 27
• Publication Date: 2022-01-02
• Subjects: Fuzzy relations -- non-classical logic -- category theory -- topology -- algebra -- graded frame -- graded fuzzy topological system -- fuzzy topological space with graded inclusion -- fuzzy geometric logic with graded consequence; 54A40 -- 94D05 -- 03B52; Nonclassical mathematical logic -- Periodicals; Wiskundige logica; Logic; Periodicals; 511.3105
• DOI: 10.1080/11663081.2022.2050134
• Languages: English
• ISSNs: 1166-3081

Abstract

Abstract : A detailed study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion is already done in our earlier paper. The notions of graded fuzzy topological system and fuzzy topological space with graded inclusion were obtained via fuzzy geometric logic with graded consequence. As an offshoot, the notion of graded frame has been developed. This paper deals with a categorical study of graded frame, graded fuzzy topological system and fuzzy topological space with graded inclusion and their interrelation.