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On approximate fuzzy maps.

Salih, Haval Mahmood Mohammed, Borumand Saeid, A. (2010)

Acta Universitatis Apulensis. Mathematics - Informatics

On best approximation in fuzzy metric spaces

Naser Abbasi, Hamid Mottaghi Golshan (2015)

Kybernetika

In this paper we introduce the notation of t-best approximatively compact sets, t-best approximation points, t-proximinal sets, t-boundedly compact sets and t-best proximity pair in fuzzy metric spaces. The results derived in this paper are more general than the corresponding results of metric spaces, fuzzy metric spaces, fuzzy normed spaces and probabilistic metric spaces.

On convergence theory in fuzzy topological spaces and its applications

Nouh, Ali Ahmed (2005)

Czechoslovak Mathematical Journal

In this paper we introduce and study new concepts of convergence and adherent points for fuzzy filters and fuzzy nets in the light of the Q -relation and the Q -neighborhood of fuzzy points due to Pu and Liu [28]. As applications of these concepts we give several new characterizations of the closure of fuzzy sets, fuzzy Hausdorff spaces, fuzzy continuous mappings and strong Q -compactness. We show that there is a relation between the convergence of fuzzy filters and the convergence of fuzzy nets similar...

On fixed figure problems in fuzzy metric spaces

Dhananjay Gopal, Juan Martínez-Moreno, Nihal Özgür (2023)

Kybernetika

Fixed circle problems belong to a realm of problems in metric fixed point theory. Specifically, it is a problem of finding self mappings which remain invariant at each point of the circle in the space. Recently this problem is well studied in various metric spaces. Our present work is in the domain of the extension of this line of research in the context of fuzzy metric spaces. For our purpose, we first define the notions of a fixed circle and of a fixed Cassini curve then determine suitable conditions...

On four intuitionistic fuzzy topological operators.

Krassimir T. Atanassov (2001)

Mathware and Soft Computing

Four new operators, which are analogous of the topological operators interior and closure, are defined. Some of their basic properties are studied. Their geometrical interpretations are given.

On fuzzy nearly C-compactness in fuzzy topological spaces

G. Palani Chetty, Ganesan Balasubramanian (2007)

Mathematica Bohemica

In this paper the concept of fuzzy nearly C-compactness is introduced in fuzzy topological spaces and fuzzy bitopological spaces. Several characterizations and some interesting properties of these spaces are discussed. The properties of fuzzy almost continuous and fuzzy almost open functions are also discussed.

On fuzzy topological subalgebras of BCC-algebras

Wiesław A. Dudek, Young Bae, Sung Min Hong (2000)

Discussiones Mathematicae - General Algebra and Applications

We describe properties of subalgebras and BCC-ideals in BCC-algebras with a topology induced by a family of fuzzy sets.

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