A max-plus automaton is a finite automaton with transition weights in the real numbers. To each word, it assigns the maximum weight of all accepting paths on the word, where the weight of a path is the sum of the path’s transition weights. Max-plus automata and their min-plus counterparts are weighted automata [19, 18, 13, 2, 4] over the max-plus or min-plus semiring. Under varying names, max-p...

This paper describes a fault tree technique based on generalized fuzzy numbers to a possibility distribution of reliability indices for power systems. Due to uncertainty in the collected data, all the failure probabilities are represented by generalized trapezoidal fuzzy number. In this paper, the fault-tree incorporated with the generalized trapezoidal fuzzy number and minimal cut sets approac...

An algorithm for solving Min-Goguen fuzzy linear systems of equations is presented in this paper. Solving subject great scientific interest. The authors have developed fast an efficient algorithms over several algebras. Here we present, relatively simple, and to solve algebra, logically backed by previously the max-min min-max

A new technique for adaptation of fuzzy membership functions in a fuzzy inference system is proposed. The pointer technique relies upon the isolation of the specific membership functions that contributed to the final decision, followed by the updating of these functions’ parameters using steepest descent. The error measure used is thus backpropagated from output to input, through the min and ma...

Mean-payoff games on timed automata are played on the infinite weighted graph of configurations of priced timed automata between two players—Player Min and Player Max—by moving a token along the states of the graph to form an infinite run. The goal of Player Min is to minimize the limit average weight of the run, while the goal of the Player Max is the opposite. Brenguier, Cassez, and Raskin re...

We consider an appointment system where heterogeneous participants are sequenced and scheduled for service. As service times are uncertain, the aim is to mitigate the unpleasantness experienced by the participants in the system when their waiting times or delays exceed acceptable thresholds, and address fairness concerning balance of service levels among participants. In evaluating uncertain de...

In the use of the fuzzy calculus for design, the issue arises over how to resolve what value of a performance parameter should be used, given the desires speci ed for the design parameters and the set of functional requirements. It is shown that the method to use to solve this problem is to use, in the most general case, any member of a range of functions which evaluate between the min function...