A New View on Fuzzy F*-Structure Homotopy and its F*-Fundamental Group

Abstract

In this paper, the concept of fuzzy F*-structure isomorphisms between F*-fundamental groups are studied. Also it is shown that, for every fuzzy F*-structure continuous function, there is an induced fuzzy F*-structure group homomorphism between their F*-undamental groups. Further in fuzzy F*-path connected space, all the F*-fundamental groups π₁((X, J), x_λ) are fuzzy F*-isomorphic.
Also in fuzzy F*-path connected space, the F*-fundamental group π₁((X; J), x_λ) is independent of the fuzzy base point x_λ up to fuzzy F*-structure isomorphism of groups.

Key words and phrases. Fuzzy F*-structure isomorphisms, Fuzzy F*-structure homomorphisms, Fuzzy F*-structure loop homotopies, Induced fuzzy F*-structure group homomorphisms, Fuzzy F*-path connected spaces.

2000 Mathematics Subject Classification. 54A40, 54E55