This contribution is concerned with the compactness of fuzzy logics, where we concentrate on the three standard fuzzy logics—Łukasiewicz logic, Gödel logic, and product logic.

In this paper, a new definition of fuzzy bounded sets and totallyfuzzy bounded sets is introduced and properties of such sets are studied. Thena relation between totally fuzzy bounded sets and N-compactness is discussed.Finally, a geometric characterization for fuzzy totally bounded sets in I- topologicalvector spaces is derived.

Ab.llrtI(·I: Algorithm, based 011 minimIsation of fuzzy compactness are developed whereby it is possible to obtain automatically both fuzzy and nonfu77y skeletons of an image. Compactness measure lakes into account the fuzziness In geometry of regions in an image. The memberstlip plane representing the subset 'Core line' is made gray level and position dependent sueb thai its value decreases as...

In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spa...

In this paper, we present a new vision for studying ${F}$-open, ${F}$-continuous, and ${F}$-irresolute function in $(L,M)$-fuzzy topological spaces based on the implication operation and $(L,M)$-fuzzy ${F}$-open operator cite{2}. These kinds of functions are generalized with their elementary properties to $(L,M)$-fuzzy topological spaces setting based on graded concepts. Moreover, a systematic ...