in this paper, we use the denition of fuzzy normed spaces givenby bag and samanta and the behaviors of solutions of the additive functionalequation are described. the hyers-ulam stability problem of this equationis discussed and theorems concerning the hyers-ulam-rassias stability of theequation are proved on fuzzy normed linear space.

in this paper, we prove the generalized hyers--ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy banach spaces.

Recently Clarke, Stern and Wolenski characterized, in a Hilbert space, the closed subsets C for which the distance function dC is continuously differentiable everywhere on an open “tube” of uniform thickness around C. Here a corresponding local theory is developed for the property of dC being continuously differentiable outside of C on some neighborhood of a point x ∈ C. This is shown to be equ...

In this chapter, we utilize L–R method to calculate the parameters of performance fuzzy Markovian queueing system FM/FM/1 in transient regime. The technique calculating used is arithmetic numbers restricted secant approximations. membership function has helped us represent graphically curves into space three dimensions regime environment. An illustrative example given medical field show relevan...

The present paper studies fuzzy matroids in view of degree. First wegeneralize the notion of $(L,M)$-fuzzy independent structure byintroducing the degree of $M$-fuzzy family of independent $L$-fuzzysets with respect to a mapping from $L^X$ to $M$. Such kind ofdegrees is proved to satisfy some axioms similar to those satisfiedby $(L,M)$-fuzzy independent structure. ...

Consider two finite sets, A and V, of points in m-dimensional space. The convex hull of A and the conical hull of V can be combined to create a finitely generated unbounded polyhedron. We explore the geometry of these polyhedral sets to design, implement, test, and compare two different algorithms for finding the frame, a minimal cardinality subset of A and V, that generate the same polyhedron....

In the shipbuilding process, lighting system in hull workshop consumes a large amount of electricity and the temperature and humidity inside affect the safety and quality of production directly. In order to save energy and monitor the temperature and humidity of working space in real time, an environment monitoring and energy saving control system was designed based on ZigBee wireless sensor ne...

In this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. Weshow that obtained result is an extension of the result ofRodr'{i}guez-L'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.

In this note first by considering the notion of general fuzzy automata (for simplicity GFA), we define the notions of direct product, restricted direct product and join of two GFA. Also, we introduce some operations on (Fuzzy) sets and then prove some related theorems. Finally we construct the general fuzzy recognizers and recognizable sets and give the notion of (trim) reversal of a given GFA....