the aim of this paper is to introduce $(l,m)$-fuzzy closurestructure where $l$ and $m$ are strictly two-sided, commutativequantales. firstly, we define $(l,m)$-fuzzy closure spaces and getsome relations between $(l,m)$-double fuzzy topological spaces and$(l,m)$-fuzzy closure spaces. then, we introduce initial$(l,m)$-fuzzy closure structures and we prove that the category$(l,m)$-{bf fc} of $(l,m...

This paper introduces the concept of fuzzy neutrosophic equivalence relations and discuss some of their properties. define fuzzy neutrosophic transitive closure and investigate their properties.

In this paper we survey results of the following type (known as closure results). Let P be a graph property, and let C (u; v) be a condition on two nonadjacent vertices u and v of a graph G. Then G +uv has property P if and only if G has property P. The rst and now well-known result of this type was established by Bondy and Chvv atal in a paper published in 1976: If u and v are two nonadjacent ...

We study properties of classes of closure operators and closure systems parameterized by systems of isotone Galois connections. The parameterizations express stronger requirements on idempotency and monotony conditions of closure operators. The present approach extends previous approaches to fuzzy closure operators which appeared in analysis of objectattribute data with graded attributes and re...

Varius concepts related to the category of fuzzy closure spaces have been introduced, and relations among them are studied by several authors [4-8]. in this paper, we introduce the weak fuzzy closure operators which need not preserve unions, showing that many concepts and properties of the category of closure spaces (FCS) can be proved under such weakened conditions. Initial structures of weak ...

A most convincing way to demonstrate that an acoustic property is a cue for the listener would be to find speech events that constitute minimal pairs with respect to that property, but in nature such pairs are most unlikely. The English words rapid and rabid are a minimal pair at the level of the segmental phoneme, and are near minimal at the level of the phonetic feature, but as many as sixtee...

The aim of this paper is to introduce $(L,M)$-fuzzy closurestructure where $L$ and $M$ are strictly two-sided, commutativequantales. Firstly, we define $(L,M)$-fuzzy closure spaces and getsome relations between $(L,M)$-double fuzzy topological spaces and$(L,M)$-fuzzy closure spaces. Then, we introduce initial$(L,M)$-fuzzy closure structures and we prove that the category$(L,M)$-{bf FC} of $(L,M...