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 ...

The optimal hypothesis tests for the binomial distribution and some other discrete distributions are uniformly most powerful (UMP) one-tailed and UMP unbiased (UMPU) two-tailed randomized tests. Conventional confidence intervals are not dual to randomized tests and perform badly on discrete data at small and moderate sample sizes. We introduce a new confidence interval notion, called fuzzy conf...

Ranking fuzzy numbers plays an important role in data analysis, decision making optimization, forecasting etc. The last few decades have seen a large number of methods investigated for ranking fuzzy numbers. In this paper, a new approach is proposed for the ranking of generalized trapezoidal fuzzy numbers namely Haar ranking and is based on the approximate coefficients and detailed coefficients...

In this paper, we make a study of the Owen value for cooperative fuzzy games with a coalition structure, which can be regarded as the generalization of crisp case. An axiomatic system of the Owen value for fuzzy games with a coalition structure is obtained by extending the corresponding characterizations given by Owen. The relationship between the Owen value and the fuzzy core of fuzzy games wi...

The aim of this paper is the study and the design of a maintenance module based on Petri nets (PNs) for manufacturing job-shops with time constraints. In such systems, operation times are included between a minimum and a maximum value. In this context, we propose a new fuzzy Petri net called Fuzzy Petri Net for maintenance (FPNM). This tool is able to analyze monitoring and recovery tasks of a ...

This study was carried out to evaluate the capability of a combined fuzzy-analytic hierarchy process (AHP) method for soil fertility evaluation of common bean in Shiraz, Iran. A set of membership functions was constructed to represent the soil fertility classes, which were derived from 50 field samples collected through a purposive sampling approach. Seven soil parameters including phosphorus (...

Fuzzy variables are functions from credibility spaces to the set of real numbers. Based on the expected value of a fuzzy variable, the expected value of function of a simple fuzzy variable is studied. In order further to discuss the mathematical properties of fuzzy variables, some inequalities for fuzzy variables are derived based on the concepts of credibility measures and expected value opera...