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...

The fuzzy modeling technology, which uses a rule-based description of the relationship between variables, is discussed. We then turn to the problem of the simultaneous solution of relationships involving fuzzy models. We illustrate this problem by considering the equilibrium problem in economics. In this case we have two relationships, one between price and supply and the other between price an...

Fuzzy Description Logics (fuzzy DLs) have been proposed as a language to describe structured knowledge with vague concepts. In [23], a solution based on Mixed Integer Linear Programming has been proposed to deal with fuzzy DLs under Łukasiewicz semantics in which typical membership functions, such as triangular and trapezoidal functions, can be explicitly represented in the language. A major th...

This paper investigates the numerical solution of imprecisely defined fractional order dynamic system, subjected to an unit impulse load. A mechanical spring mass system having fractional damping of order 1/2 with fuzzy initial condition is taken into consideration. Fuzziness appearing in the initial conditions is modelled through different types of convex normalised fuzzy sets viz. triangular,...

In fuzzy models, redundancy may be present in the form of similar fuzzy sets, especially in the construction of a fuzzy system from a set of given training examples. In this paper, a simple formula for calculating the degree of similarity of Trapezoidal membership functions is derived in order to merge similar membership functions and hence to obtain a more transparent rule-base with a minimum ...

Fuzzy random variable is a combination of fuzzy variable and random variable, and can characterize both fuzziness and randomness in the real world. The mean chance of a fuzzy random event is an important concept in fuzzy random optimization, just like the probability of a stochastic event in stochastic optimization and the credibility of a fuzzy event in fuzzy optimization. In fuzzy random prog...

A text-dependent speaker recognition method is proposed using trapezoidal fuzzy similarity function to measure the similarity of voice features between a test user and the registered speaker who has nearest distance. The trapezoidal fuzzy similarity function is constructed based on three-time data recorded during enrolment process as personal identification voice (PIV) and statistical data of a...

Biswas, S. S. , Alam, B. , Doja, M. N. 2013. An algorithm for extracting intuitionistic fuzzy shortest path in a graph. Applied Computational Intelligence and Soft Computing, 17. Dubois, D. and Prade, H. 1980. Fuzzy Sets and Systems: Theory and Applications, Academic Press, New York. De, P. K. and Das, D. 2012 Ranking of trapezoidal intuitionistic fuzzy numbers, Intelligent Systems Design and A...

This paper presents a new class of fuzzy expectation data envelopment analysis (FEDEA) models with credibility constraints. Since the proposed model contains the credibility of fuzzy events in the constraints and the expected value of a fuzzy variable in the objective, the solution process is very complex. Thus, in the case when the inputs and outputs are mutually independent trapezoidal fuzzy ...