In this paper, we introduce intuitionistic fuzzy semi pre open (closed) sets and intuitionistic fuzzy semi pre continuous mappings in intuitionistic fuzzy topological spaces in Sostak’s sense. Also we investigate the characteristic properties of these sets and mappings.

A semioval in a finite projective plane is a non-empty pointset S with the property that for every point in S there exists a unique line tP such that S ∩ tP = {P}. This line is called the tangent to S at P . Semiovals arise in several parts of finite geometries: as absolute points of a polarity (ovals, unitals), as special minimal blocking sets (vertexless triangle), in connection with cryptogr...

In this paper, we provide several Arzelà–Ascoli-type results on the space of all continuous functions from a Tychonoff X into fuzzy sets Rn, (FUSCB(Rn),Hend), which are upper semi-continuous and have bounded support endowed with endograph metric. Namely, obtain positive when is considered to be kr-space C(X,(FUSCB(Rn),Hend)) compact open topology, as well assume that pseudocompact equipped unif...

As a recent emerging technique, semi-supervised clustering has attracted significant research interest. Compared to traditional clustering algorithms, which only use unlabeled data, semi-supervised clustering employs both unlabeled and supervised data to obtain a partitioning that conforms more closely to the user's preferences. Several recent papers have discussed this problem (Cohn, Caruana, ...

Let (G, u) be an Archimedean norm-complete dimension group with order-unit. Continuing a previous paper, we study intervals (i.e., nonempty upward directed lower subsets) of G which are closed with respect to the canonical norm of (G, u). In particular, we establish a canonical one-to-one correspondence between closed intervals of G and certain affine lower semicontinuous functions on the state...

The primary goal is to characterize Locally H-closed spaces (LHC), by conditions on the remainders of their extensions. These are also characterized using subspaces and extensions as well. Characterizing these classes in provide characterizations them terms boundaries. Recently, authors have proved that results give necessary sufficient for space be compact A number equivalences Hausdorff (Urys...

In this paper, countable compactness and the Lindel¨of propertyare defined for L-fuzzy sets, where L is a complete de Morgan algebra. Theydon’t rely on the structure of the basis lattice L and no distributivity is requiredin L. A fuzzy compact L-set is countably compact and has the Lindel¨ofproperty. An L-set having the Lindel¨of property is countably compact if andonly if it is fuzzy compact. ...

Today’s housing, as a private realm of human life, has changed in comparison with the past which was made regardless of quality, desirability, and lack of paying attention to the human needs and its psychological consequences; That is to say, residential units have turned into a set of closed spaces and their open and semi-open spaces have been merged into the urban spaces which disrupted their...

We present some properties regarding diffusion and semi-convexity for fuzzy set multifunctions defined on a ring of subsets of an abstract nonvoid space and taking values in the family of all nonvoid closed subsets of a real normed space. Key–Words: diffused, semi-convex, fuzzy set multifunction, non-atomicity, Darboux property, regular, multimeasure, null-additive.