1 Introduction Suppose that n individuals, labeled 1,..., n 9 wish to assign consensual probabilities to a sequence of events E u ..., E k which partition some set of possibilities. Let their subjective assignments be registered in an n x k matrix P = (Pij), where py denotes the subjective probability assigned by individual / to event Ej. The question of how to aggregate the probabilities in P ...

We present an axiomatic approach to conditional measures of fuzzy events which is inspired by the Dupré–Tipler argument for Bayesianism. Unlike there or in the older and related Cox argument, although we are able to derive additive probabilities other non-additive solutions exist. Our motivation is to show that Bayesian foundational arguments are based on Boolean logic but they do not require i...

This paper considers Stackelberg solutions for decision making problems in hierarchical organizations under fuzzy random environments. Taking into account vagueness of judgments of decision makers, fuzzy goals are introduced into the formulated fuzzy random two-level linear programming problems. On the basis of the possibility and necessity measures that each objective function fulfills the cor...

For successful trading in financial markets, it is important to develop financial models where one can identify different states of the market for modifying one’s actions. In this paper, we propose to use probabilistic fuzzy systems for this purpose. We concentrate on Takagi–Sugeno (TS) probabilistic fuzzy systems that combine interpretability of fuzzy systems with the statistical properties of...

Software systems are becoming increasingly more complex and testing it to a reliable system requires a great deal of effort. Stochastically testing promises a solution to this increased testing burden and gives the opportunity to analyze reliability, mean time to failure etc. Today there is hundreds of reliability models with more models developed every year. Still, there exist no models that c...

In this contribution a new supervised classification model is proposed, namely the Fuzzy Evolutionary Probabilistic Neural Network (FEPNN). The proposed model incorporates a fuzzy class membership function into the recently proposed Evolutionary Probabilistic Neural Network (EPNN). EPNN employs an evolutionary algorithm, namely the Particle Swarm Optimization (PSO), for the selection of the spr...

A fuzzy logic-based multi-factor aided multiple-model filter (FLMAMMF) for General aviation (GA) maneuvering target tracking (MTT) is presented. The target category and meteorological information are introduced into the interacting multiple model (IMM) filter to perform GA target tracking. Fuzzy logic inference is employed in the proposed algorithm to reflect the complicated relationship betwee...

The aim of this paper is to analyse the solution of a fuzzy system when the classical solution based on standard fuzzy mathematics fails to exist. In particular we analyse the solution of the system Ax=b with A squared matrix with positive fuzzy coefficients and y crisp vector of positive elements. This system is particularly important for financial applications. We propose two different soluti...

Fuzzy measures generalize additive and probabilities. Their advantage with respect to ones is that they permit model interactions between objects. Mesiar introduced in 1999 k-order Pan-additive fuzzy k-maxitive ones. They are related the Möbius transform generalizations. In this paper we introduce some other transforms call ( M a x , + ) ? represent convenient way when use genetic algorithms me...