In this paper, the utility of credibilistic critical values in crisp conversion of fuzzy data sets is considered. Conversion of this type becomes essential mainly when clustering of fuzzy data sets is carried out. In this paper performance of two popular clustering algorithms namely Fuzzy c–means and Fuzzy c–medoids algorithms are evaluated under credibilistic critical value crisp conversion is...

This paper studies three notions of fuzzy dominance based on credibility measure, namely, the fuzzy mean-risk dominance, the first credibilistic dominance and the second credibilistic dominance. More precisely, we introduce and examine some properties of the Fuzzy Lower Partial Moments (FLPM) of a fuzzy variable and, we deduce the Fuzzy Kappa index (FK) of a fuzzy variable, that is, a riskadjus...

Probabilistic logic and credibilistic logic are two branches of multi-valued logic for dealing with random knowledge and fuzzy knowledge, respectively. In this paper, a hybrid logic is introduced for dealing with random knowledge and fuzzy knowledge simultaneously. First, a hybrid formula is introduced on the basis of random proposition and fuzzy proposition. Furthermore, a hybrid truth value i...

Harsanyi’s work on games with incomplete information is by use of probabilistic approach and constitutes one of the most important developments in game theory. This paper presents a spectrum of credibilistic game, in which the incomplete information is interpreted as fuzzy variables and processed via credibilistic approach. As the leadoff, a strategic game with fuzzy payoffs is discussed by pre...

Coalitional game deals with situations that involve cooperations among players, and there are different solution concepts such as the core,the Shapley value and the kernel. In many situations, there is no way to predict the payoff functions except for the expert experiencesand subjective intuitions, which leads to the coalitional game with fuzzy payoffs. Within the framework of credibility theo...

This paper originally considers the finite extensive game with fuzzy payoffs. Three credibilistic approaches are introduced to define the behaviors of players in different decision situations. Accordingly, three types of credibilistic equilibria for the fuzzy extensive game are proposed. Moreover, theorems are given to confirm the existence of these new equilibria in fuzzy extensive game. At th...

In this paper, a maximum likelihood estimation and a minimum entropy estimation for the expected value and variance of normal fuzzy variable are discussed within the framework of credibility theory. As an application, a credibilistic portfolio selection model is proposed, which is an improvement over the traditional models as it only needs the predicted values on the security returns instead of...

This paper proposes an entropy method for diversified fuzzy portfolio selection. Proportion entropy is introduced and credibilistic mean-variance and mean-semivariance diversification models for fuzzy portfolio selection are proposed. The crisp forms of the proposed models are also provided when the security returns are all triangular fuzzy variables. As an illustration, an application example ...

The modeling of complex risk situations imposes the existence of multiple ways to represent the risk and compare the risk situations between them. In probabilistic models, risk is described by random variables and risk situations are compared by stochastic dominance. In possibilistic or credibilistic models, risk is represented by fuzzy variables. This paper concerns three indicators of dominan...

In practice, noise images even high noise images are very common. It’s very essential and critical to deal with such kind of images to process real-image segmentation and pattern recognition. In this paper, differences of credibilistic clustering algorithm (CCA) and fuzzy c-means algorithm (FCM) in dealing with noise images are studied and the research shows that in most case, CCA performs bett...