In this paper, we define a mathematical model for T -independent and identically distributed random fuzzy variables and consider the existence of the process. We also investigate law of large numbers for random fuzzy variables. For special cases, we consider the case for T = min and T =Archimedean t-norm. Mathematics Subject Classification: 60A86

A mixed 0-1 integer programming model of Combined Location Routing and Inventory Problem (CLRIP) with fuzzy random demand has been proposed in B2C E-commerce distribution environment. Demands of customers and distribution centers have been assumed to be fuzzy random variables.

The maximum weighted matching problem is to find a maximum matching in a given graph such that the sum of weights of edges in it is maximum. In this paper, the concept of maximum random fuzzy weighted matching is proposed firstly, and then the maximum random fuzzy weighted matching problem is formulated as expected value model, chance-constrained programming and dependent-chance programming acc...

Hori (né Uemura) et al. formulated the fuzzy-Bayes decision rule extension of the Wald decision function to fuzzy ORand AND-connectives with multiple subjective distributions. This decision rule maps and transforms a state of nature to fuzzy events. In this context, the map of subjective distributions is called the subjective possibility distribution and the map of utility functions is called t...

In this paper, several portfolio selection problems with normal mixture distributions including fuzziness are proposed. Until now, many researchers have proposed portfolio models based on the stochastic approach, and there are some models considering both random and ambiguous conditions, particularly using fuzzy random or random fuzzy variables. However, the model including normal mixture distr...

Until now, fuzzy logic has been extensively used to better analyse and design controllers for chemical processes. It has also been used for other applications like parameter estimation of nonlinear continuous-time systems but in general fuzzy logic has been intensively used for heuristics based system. Recently, fuzzy logic has been applied successfully in many areas where conventional model ba...

This paper studies a facility location model with fuzzy random parameters and its swarm intelligence approach. A Value-at-Risk (VaR) based fuzzy random facility location model (VaR-FRFLM) is built in which both the costs and demands are assumed to be fuzzy random variables, and the capacity of each facility is unfixed but a decision variable assuming continuous values. Under this setting, the V...

In this paper we propose a Ping – Pong transitions on web applications. The numerical values of parameters in real time situations are not exactly predictable; to overcome this we are using a fuzzy criterion through possibilities which are represented as a triangular fuzzy number. We introduce a method to study the long term behavior (steady state) of Ping – Pong transitions using Fuzzy Markov ...