In this paper we propose the general bulk service queueing model for FM/M(a,b)/1/MWV/Br. The batches are served according to FCFS discipline. In which arrival rate, vacation parameter, service rate for busy period, and for vacation period are all considered as trapezoidal fuzzy numbers. The basic idea is to convert all these fuzzy numbers into crisp values by applying Robust ranking Technique. ...

Recently, Abbasbandy and Asady have been proposed a modification of the distance based approach, namely “sign distance method”. However, in this paper, it is shown that this method has some drawbacks, i.e., the result is not consistent with human intuition for special cases and this method cannot always logically infer ranking order of the images of the fuzzy numbers. In this paper, we present ...

Ranking of fuzzy numbers play an important role in decision making problems. Fuzzy numbers must be ranked before an action is taken by a decision maker. Chen (Operations on fuzzy numbers with function principal, Tamkang Journal of Management Science 6 (1985) 13-25) pointed out that in many cases it is not to possible to restrict the membership function to the normal form and proposed the concep...

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...

This paper proposes the procedure to find out the total average cost in terms of crisp values for /M/1/BD/MV with fuzzy parameters. In which arrival rate, service rate, batch size, setup, vacation, breakdown, repair rates, and the start up ,build up, holding, setup, dormant, breakdown costs and cost for busy and vacation periods are all considered as trapezoidal fuzzy numbers. As ranking techni...

In every field of our real life situations, we deal with a replacement problem, when some items such as machines, medical equipment, military tank, electric bulb etc. or workers need to replace due to their decreased efficiency, failure or break down. To get a more realistic view of a replacement problem, here, we consider that the capital cost ( C ~ ), scrap value or resale value ( S ~ ), main...

Abstract. The fuzzy set theory has been applied in many fields such as management, engineering and almost in every business enterprise as well as day to day activities. In this paper fully fuzzy linear programming problems with hexagonal fuzzy numbers were discussed. A new approach for solving fully fuzzy linear programming problems (FFLPP) is proposed, based upon the new Ranking function, whic...