In this article, we use the fuzzy concept to consider the reliability of serial system and the reliability of parallel system. Since the population reliability Rj of the subsystem Pj (j = 1, 2, ..., n) is unknown, if we use the point estimate j R to estimate Rj from the statistical data in the past, we don’t know the probability of the error j R − Rj. Moreover, the reliability of the system may...

let $(u_n)$ be a sequence of fuzzy numbers.  we recover the slow oscillation of $(u_n)$ of fuzzy numbers from the ces`{a}ro summability of its generator sequence and some additional conditions imposed on $(u_n)$. further, fuzzy analogues of some well known classical tauberian theorems for ces`{a}ro summability method are established as particular cases.

in this paper the solution of a second order linear dierential equations with intu-itionistic fuzzy boundary value is described. it is discussed for two dierent cases: coecientis positive crisp number and coecient is negative crisp number. here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (gtrifns). further a numericalexample is illustrated.

This paper proposes the optimal policies for a fuzzy inventory model considering holding cost and ordering as continuous functions of time. Shortages are allowed partially backlogged. The demand rate is assumed in such to be linearly dependent on time during on-hand inventory, while shortage period, it remains constant. problem formulated crisp environment. Considering rate, trapezoidal numbers...

In many real decision situations, for each of the alternatives, we only have fuzzy information about the consequences of each action. This fuzzy information can be described by a fuzzy number, i.e., by a membership function with a single local maximum, or it can be described by a more complex fuzzy set, with several local maxima. We show that, from the viewpoint of decision making, it is suffic...

The shortest path (SP) problem constitutes one of the most prominent topics in graph theory and has practical applications many research areas such as transportation, network communications, emergency services, fire stations to name just a few. In real-world applications, arc weights corresponding SP problems are represented by fuzzy numbers. current paper presents fuzzy-based Ant Colony Optimi...

the importance as well as the difficulty of the problem of ranking fuzzy numbers is pointed out. here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its signal/noise ratios, where the signal and the noise are defined as the middle-point and the spread of each $gamma$-cut of a fuzzy number, respectively. we use the va...