the main purpose of this paper is to consider the t-best simultaneousapproximation in fuzzy normed spaces. we develop the theory of t-bestsimultaneous approximation in quotient spaces. then, we discuss the relationshipin t-proximinality and t-chebyshevity of a given space and its quotientspace.

This paper presents a contribution to minimization of intuitionistic fuzzy automata. In this paper the concept of substitution property (SP) partition for a finite intuitionistic fuzzy automaton is formulated, and the quotient automaton with respect to an SP partition is defined.

In this paper, we study the fuzzy differential equations in the quotient space of fuzzy numbers. We deal with the convergence of successive approximations of the initial value problem of the fuzzy differential equations under the general uniqueness assumption of Perron type utilizing the comparison functions that is rather instructive. We also discuss the approximate solutions and the error est...

Fuzzy subgroups of finite groups have been treated recently using the concept of pinnedflags. In this paper, we consider the operations of intersection, sum, product, and quotient of fuzzy subgroups of finite abelian groups in general, in terms of pinned-flags. We develop algorithms to construct pinned-flags of fuzzy subgroups corresponding to these operations and prove their validity. We illus...

The concept of a locally compact hypergroup was introduced by Dunkl [6], Jewett [14] and Spector [26]. Hypergroups generalize convolution algebras of measures associated to groups as well as linearization formulae of classical families of special functions, e.g. orthogonal polynomials. Many results of harmonic analysis on locally compact abelian groups can be carried over to the case of commuta...

In this paper, the concept of intuitionistic fuzzy congruence relation on a residuated lattice is introduced and its properties is studied. The relationship between intuitionistic fuzzy filters and intuitionistic fuzzy congruence relations on a residuated lattice is obtain. Then the intuitionistic fuzzy congruence relation corresponding to a given intuitionistic fuzzy filter on residuated latti...

As Granular Computing has gained interest, more research has lead into using different representations for Information Granules, i.e., rough sets, intervals, quotient space, fuzzy sets; where each representation offers different approaches to information granulation. These different representations have given more flexibility to what information granulation can achieve. In this overview paper, ...

The objective of this paper is to introduce the concept of neutrosophic hypergroup and present some of its elementary properties.