Intuitionistic fuzzy topological spaces: Categorical concepts
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Coker has introduced the concept of intuitionistic fuzzy topological spaces $(X,T)$ where $X$ is an ordinary set and $T$ is a family of intuitionistic fuzzy sets in $X$ satisfying some axioms. In this paper I introduce the fuzzy version of some universal constructions, namely, fuzzy products, fuzzy equalizers and fuzzy pullbacks for intuitionistic fuzzy topological spaces. Some results concerning all such universal objects are discussed. Finally, functors preserving equalizers and pullbacks are investigated.
Abstract
Coker has introduced the concept of intuitionistic fuzzy topological spaces $(X,T)$ where $X$ is an ordinary set and $T$ is a family of intuitionistic fuzzy sets in $X$ satisfying some axioms. In this paper I introduce the fuzzy version of some universal constructions, namely, fuzzy products, fuzzy equalizers and fuzzy pullbacks for intuitionistic fuzzy topological spaces. Some results concerning all such universal objects are discussed. Finally, functors preserving equalizers and pullbacks are investigated.
참고문헌 (21)
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