This paper systematically investigates the properties of six kinds of entropy-based risk measures: Information Entropy and Cumulative Residual Entropy in the probability space, Fuzzy Entropy, Credibility Entropy and Sine Entropy in the fuzzy space, and Hybrid Entropy in the hybridized uncertainty of both fuzziness and randomness. We discover that none of the risk measures satisfy all six of the...

A capacitated location-routing problem (CLRP) is one of the new areas of research in distribution management. It consists of two problems; locating of facilities and routing of the vehicle with a specific capacity. The purpose of the CLRP is to open a set of stores, allocate customers to established deposits, and then design vehicle tours in order to minimize the total cost. In this paper, a ne...

Time-dependent hydration process of Portland cement presents a complex system with several uncertainties. A presented four-parametric affinity hydration model captures well the hydration kinetics when three parameters are treated as fuzzy numbers. The equations for the fuzzy affinity hydration model are derived using Zadeh’s extension principle, which allows for simplifying calculations to obta...

Given that ―rule-based analysis is the dominant form of reasoning‖ used by lawyers, it is probably safe to say that most lawyers would agree with Aristotle‘s sentiment. After all, this is how lawyers are taught to think in law school. Three years of their lives are slavishly devoted to the pursuit of logic with little to no emphasis on other forms of reasoning. Therefore, it is not surprising t...

the railway transportation planning under the fuzzy environment is investigated in this paper. as a main result, a new modeling method, called minimum risk chance-constrained model, is presented based on the credibility measure. for the convenience ofs olving the mathematical model, the crisp equivalents ofc hance functions are analyzed under the condition that the involved fuzzy parameter...

based on credibilistic value-at-risk (cvar) of regularfuzzy variable, we introduce a new cvar reduction method fortype-2 fuzzy variables. the reduced fuzzy variables arecharacterized by parametric possibility distributions. we establishsome useful analytical expressions for mean values and secondorder moments of common reduced fuzzy variables. the convex properties of second order moments with ...

abstract— in this paper, a new extended method of multi criteria decision making based on fuzzy-topsis theory is introduced. fuzzy mcdm algorithm for determining the best choice among all possible choices when the data are fuzzy is also presented. using a new index leads to procedure for choosing fuzzy ideal and negative ideal solutions directly from the fuzzy data observed alternatives.in this...

Abstract In this paper, an integration of a fuzzy-interval credibility-constrained (FIC) model expressed by fuzzy interval sets (FIS) and nonlinear programming (INP), termed FIC-INP model, was proposed applied to two cases. After formulating the upper lower disinfection booster costs can be obtained for cases under various combinations credibility levels limits. The results indicated that incre...

The railway transportation planning under the fuzzy environment is investigated in this paper. As a main result, a new modeling method, called minimum risk chance-constrained model, is presented based on the credibility measure. For the convenience ofs olving the mathematical model, the crisp equivalents ofc hance functions are analyzed under the condition that the involved fuzzy parameter...