Powerset structures of extensional fuzzy sets in sets with similarity relations are investigated. It is proved that extensional fuzzy sets have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic theories (monads). Between Zadeh's fuzzy powerset theory and the classical powerset theo...

We are concerned with the problem of introducing credibility type information into reasoning systems. The concept of credibility allows us to discount information provided by agents. An important characteristic of this kind of procedure is that a complete lack of credibility rather than resulting in the negation of the information provided results in the nullification of the information provide...

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...

On the basis of analytical theory of credible traditional data, this paper constructs a hierarchical trusted network model of dynamic data analysis by increasing time factor, penalty factor and other weight parameters, which puts the credibility of the analysis of the problem down to the big data combinatorial problems of between the data sources, data source and data dissemination network path...

This study examined: 1) whether a peripheral cue and subject knowledge influenced the credibility judgments in the context of Wikipedia; and 2) whether certain factors affected heuristic processing in the context of Wikipedia. The theory of bounded rationality and the heuristic-systematic model serve as the basis of this study. Data were collected employing a quasi-experiment and a web survey a...

Risk analysis of gravity dam stability involves complicated uncertainty in many design parameters and measured data. Stability failure risk ratio described jointly by probability and possibility has deficiency in characterization of influence of fuzzy factors and representation of the likelihood of risk occurrence in practical engineering. In this article, credibility theory is applied into sta...

the notion of strong arcs in a fuzzy graph was introduced bybhutani and rosenfeld in [1] and fuzzy end nodes in the subsequent paper[2] using the concept of strong arcs. in mordeson and yao [7], the notion of“degrees” for concepts fuzzified from graph theory were defined and studied.in this note, we discuss degrees for fuzzy end nodes and study further someproperties of fuzzy end nodes and fuzz...

in this paper we define intuitionistic fuzzy metric and normedspaces. we first consider finite dimensional intuitionistic fuzzy normed spacesand prove several theorems about completeness, compactness and weak convergencein these spaces. in section 3 we define the intuitionistic fuzzy quotientnorm and study completeness and review some fundamental theorems. finally,we consider some properties of...

abstract this author introduces the concept of stepwise strategy approach (ssa) for dealing with a number of problems arises in the current age of technology. this new idea is combined with the knowledge of grey theory for adding flexibility to decision making process. grey theory is useful for grasping the ambiguity exists in the utilized information and the fuzziness appears in the human judg...