This paper establishes a theory of decision making under uncertainty with fuzzy utilities. The extension of expected utility and stochastic dominance to the comparison of sets of random variables plays a crucial role. Their properties as fuzzy rankings are studied, and their definitions are further generalized to the comparison of fuzzy random variables. Also, a connection between expected util...

In this paper, we adopt supreme-utilities among fuzzy level (decision) vectors to propose a power allocation rule, its efficient extension and normalization in the framework of multicriteria fuzzy transferable-utility (TU) games. We also provide several axiomatic results to present the rationality for these rules. Based on different viewpoints, we introduce different formulations and dynamic re...

In this paper, we present a new prioritization method for information fusion under fuzzy environment. We propose a new measure to measure the similarity between generalized trapezoidal fuzzy numbers. Based on the proposed similarity measure, we develop an utility function of generalized trapezoidal fuzzy numbers. With the utility function of generalized trapezoidal fuzzy numbers, we propose a n...

High utility itemset mining (HUIM) is a new emerging field in data mining which has gained growing interest due to its various applications. The goal of this problem is to discover all itemsets whose utility exceeds minimum threshold. The basic HUIM problem does not consider length of itemsets in its utility measurement and utility values tend to become higher for itemsets containing more items...

In this paper, we first consider a Bayesian frame­ work and model the "utility function" in terms of fuzzy random variables. On the basis of this model, we define the "prior (fuzzy) expected util­ ity" associated with each action, and the cor­ responding "posterior (fuzzy) expected utility given sample information from a random exper­ iment". The aim of this paper is to analyze how sample infor...

By considering the supreme-utilities among fuzzy sets and the weights among participants simultaneously, we introduce the supreme-weighted value on fuzzy transferable-utility games. Further, we provide some equivalent relations to characterize the family of all solutions that admit a potential on weights. We also propose the dividend approach to provide alternative viewpoint for the potential a...

This paper introduces the DANTE project (Detection of Anomalies and Novelties in Time sEries with self-organizing networks), the goal of which is to evaluate several self-organizing networks in the detection of anomalies/novelties in dynamic data patterns. In this paper, we first describe three standard clustering-based approaches which use well-known self-organizing neural architectures, such ...

In this paper, we present an agent-based system for distributed risk assessment of breast cancer development employing fuzzy and probabilistic computing. The proposed fuzzy multi agent system consists of multiple fuzzy agents that benefit from fuzzy set theory to demonstrate their soft information (linguistic information). Fuzzy risk assessment is quantified by two linguistic variables of high ...

Abstract We establish two types of estimates for generalized derivatives set-valued mappings which carry the essence basic patterns observed throughout pile calculus rules. These also illustrate role essential assumptions that accompany these patters, namely calmness on one hand and (fuzzy) inner calmness* other. Afterwards, we study relationship between sufficient conditions various notions (i...

In Savage [41] a 'behavioral foundation' was given for subjective probabilities, to be used in the maximization of expected utility. This paper analogously gives a behavioral foundation for fuzzy measures, to be used in the maximization of 'Choquet-expected utility'. This opens the way to empirical verification or falsification of fuzzy measures, and frees them of their 'ad hoc' character.