Any physical or geometrical variation on a natural dynamical system should be identified by an observer. Also a method is required to compare different observers and evaluate their perspectives. Moreover complexity and/or uncertainty of the system should be measured through viewpoint of observers. In the approach presented in this paper an observer is identified mathematically by a function μ :...

Department of Mathematics and Computer Science, Faculty of Sciences, Port Said University, Egypt * [email protected] **Department of Computer Science, Port Said University, Egypt [email protected] ***Department of Mathematics, University of New Mexico Gallup, NM, USA [email protected] Abstract: In this paper we introduce the notion of ideals on neutrosophic set which is considered as a gen...

We propose a resolution for the fermion doubling problem in discrete field theories based on the fuzzy sphere and its Cartesian products. The nonperturbative formulation of chiral gauge theories is a long standing programme in particle physics. It seems clear that one should regularise these theories with all symmetries intact. There are two major problems associated with conventional lattice a...

In this paper, the idea of fuzzy Fuzzy α-Ψ*-Convergence Spaces-filters on Spaces-open sets and Spaces-convergence spaces are presented. Typically, description minimal prime in a topological space is explored. Likewise, ideas Spaces-regular convergence weakly initiated few their captivating properties examined.

The purpose of this paper is to introduce the concepts intuitionistic fuzzy generalized α connectedness in topological space and study some its properties. Finally we relation between semi

This paper presents, by means of Alexandrov topology for fuzzy preordered sets and specialization order for fuzzy topological spaces, a systematic investigation of the interrelationship between fuzzy preordered sets, topological spaces, and fuzzy topological spaces. © 2006 Elsevier B.V. All rights reserved.

Uncertainty management for geometric data is currently an important problem in spatial databases, image databases, and GIS. Spatial objects do not always have homogeneous interiors and sharply defined boundaries but frequently their interiors and boundaries are partially or totally indeterminate and vague. For an important kind of spatial vagueness called fuzziness this paper provides a concept...

Cho et al. [2] introduced the notion of semicompatible maps in a d-topological space. They define a pair of self-maps (S,T) to be semicompatible if conditions (i) Sy = Ty implies that STy = TSy; (ii) for sequence {xn} in X and x ∈ X , whenever {Sxn} → x,{Txn} → x, then STxn → Tx, as n→∞, hold. However, in Fuzzy metric space (ii) implies (i), taking xn = y for all n and x = Ty = Sy. So, we defin...

In this paper we study hereditarily homogeneous generalized topological spaces. Various properties of hereditarily homogeneous generalized topological spaces are discussed. We prove that a generalized topological space is hereditarily homogeneous if and only if every transposition of $X$ is a $mu$-homeomorphism on $X$.