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$F a α$ -irresolute mappings.

Saraf, R.K., Caldas, M., Mishra, Seema (2001)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Finite-to-one fuzzy maps and fuzzy perfect maps

Francisco Gallego Lupiañez (1998)

Kybernetika

In this paper we define, for fuzzy topology, notions corresponding to finite-to-one and $k$ -to-one maps. We study the relationship between these new fuzzy maps and various kinds of fuzzy perfect maps. Also, we show the invariance and the inverse inveriance under the various kinds of fuzzy perfect maps (and the finite-to-one fuzzy maps), of different properties of fuzzy topological spaces.

Fixed point theorems in generating spaces of quasi-norm family and applications.

Xiao, Jian-Zhong, Zhu, Xing-Hua (2006)

Fixed Point Theory and Applications [electronic only]

Fixed point theorems of $G$ -fuzzy contractions in fuzzy metric spaces endowed with a graph

Satish Shukla (2014)

Communications in Mathematics

Let $(X, M, *)$ be a fuzzy metric space endowed with a graph $G$ such that the set $V (G)$ of vertices of $G$ coincides with $X$ . Then we define a $G$ -fuzzy contraction on $X$ and prove some results concerning the existence and uniqueness of fixed point for such mappings. As a consequence of the main results we derive some extensions of known results from metric into fuzzy metric spaces. Some examples are given which illustrate the results.

Fuzziness and fuzzy equality

Aleš Pultr (1982)

Commentationes Mathematicae Universitatis Carolinae

Fuzzy Alpha-connectedness and Fuzzy Alpha-disconnectedness in Fuzzy Topological Spaces

G. Balasubramanian, V. Chandrasekar (2004)

Matematički Vesnik

Fuzzy $c γ$ -open sets and fuzzy $c γ$ -continuity in fuzzifying topology.

Noiri, T., Sayed, O.R. (2002)

International Journal of Mathematics and Mathematical Sciences

Fuzzy concepts defined via residuated maps

Achille Achache, Arturo A. L. Sangalli (1992)

Kybernetika

Fuzzy distances

Josef Bednář (2005)

Kybernetika

In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to $ℝ^{n}$ are dealt with in detail.