This article is an attempt to obtain a compromise allocation of a reliability optimization problem in case of maintenance components and in case of redundancy. In first case, time taken and the cost spent on system maintenance is minimized simultaneously for the required reliability R* (say) and in case second cost, weight and volume of the system is minimized simultaneously for the required re...

The critical path problem is a classical and important network optimization problem appearing in many applications, especially in planning and controlling the complex projects. However the result of classical critical path method computation cannot properly match the real-world problem. This gives rise to fuzzy environment and hence we have fuzzy critical path method. In this paper, two differe...

in the new production systems, finding a way to improving the product and system reliability in design is a very important. the reliability of the products and systems may improve using different methods. one of this methods is redundancy allocation problem. in this problem by adding redundant component to sub-systems under some constraints, the reliability improved. in this paper we worked on ...

triangular intuitionistic fuzzy numbers (tifns) is a special case of intuitionistic fuzzy (if) set and the ranking of tifns is an important problem. the aim of this paper is to develop a new methodology for ranking tifns by using multiattribute decision making methods (madm). in this methodology, the value and ambiguity indices of tifns may be considered as the attributes and the tifns in compa...

the importance as well as the diculty 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 de ned as the middle-point and the spread of each a-cut of a fuzzy number, respectively. we use the value of a ...

In this paper, we investigate an assignment problem in which cost coefficients are triangular intuitionistic fuzzy numbers. In conventional assignment problem, cost is always certain. This paper develops an approach to solve an intuitionistic fuzzy assignment problem where cost is not deterministic numbers but imprecise ones. Here, the elements of the costs (profits) matrix of the assignment pr...

In the literature hardly any attention is paid to solving a fuzzy fixed charge transportation problem. In this paper, we consider the fully fixed-charge transportation problem and try to find both the lower and upper bounds on the fuzzy optimal value of such a problem in which all of the parameters are triangular fuzzy numbers. To illustrate the proposed method, a numerical example is ‎presented.‎

In many real life problems, the parameters used to characterize the uncertainty or vagueness or impreciseness in information are either triangular or trapezoidal fuzzy numbers. But it is not always possible to restrict the membership function to either triangular or trapezoidal form. In this paper, a new form of non-normal fuzzy number named as Heptagonal fuzzy number is introduced and its arit...

the bi-objective warehouse problem in a crisp environment is often not eective in dealing with the imprecision or vagueness in the values of the problem parameters. to deal with such situations, several researchers have proposed that the parameters be represented as fuzzy numbers. we describe a new algorithm for fuzzy bi-objective warehouse problem using a ranking function followed by an applic...

this paper proposes an efficient algorithm based on memetic algorithm (ma) for a redundancy allocation problem without component mixing (rapcm) in a series-parallel system when the redundancy strategy can be chosen for individual subsystems. majority of the solution methods for the general rapcm assume that the type of a redundancy strategy for each subsystem is pre-determined and known a prior...