In this paper, we consider the production possibility set with n production units such that the following four principles that governs: inclusion observations, conceivability, immensity and convexity. Our goal is to estimate the output of a same and new production unit with existing production possibility and amount of input is specified. So, initially we find the interval changes of each input...

Alternative rules for the aggregation of different sources of information are discussed in the ambit of random set theory, which gives a general framework in the field of the uncertainty measures, containing probabilistic measures, set-based models (interval analysis or more generally convex models), fuzzy sets and possibility theory as particular extreme cases. Analogies and extensions of the ...

Optical music recognition aims at reading automatically scanned scores in order to convert them in an electronic format, such as a midi .le. We only consider here classical monophonic music: we exclude any music written on several staves, but also any music that contains chords. In order to overcome recognition failures due to the lack of methods dealing with structural information, non-local r...

The problem of converting possibility measures into probability measures has received attention in the past, but not by so many scholars. This question is philosophically interesting as part of the debate between probability and fuzzy sets. The imbedding of fuzzy sets into random set theory as done by Goodman and Nguyen (1985), Wang Peizhuang (1983), among others, has solved this question in pr...

In this paper we present two results on combining approximate and default reasoning First we investigate the relationship between default logic and the formalism introduced by Yager to represent default knowledge in the framework of possibility theory Second we describe a natural representation of default priorities in Yager s formalism INDEX TERMS Default logic possibility theory fuzzy set pri...

Introduction captured by our uncertainty calculi. Finally Cij is the The purpose this work is to discuss and investigate payoff to the decision maker if he selects alternative Ai the potential role of possibility theory [1-4] and other and V assumes the value Xj. One approach for non-standard uncertainty calculi, such as the Dempsterselecting the best alternative in this decision problem is Sha...

From both a theoretical and a practical point of view, the study of the concept of independence has great importance in any formalism that manages uncertainty. In Independence Concepts in Possibility Theory: Part I (de Campos and Huete, Fuzzy Sets and Systems 103 (1999) 127-152) several independence relationships were proposed, using different comparison criteria between conditional possibility...

Type-2 (T2) fuzzy variable is an extension of an ordinary fuzzy variable. In fuzzy possibility theory, T2 fuzzy variable is defined as a measurable map from the universe to the set of real numbers, and the possibility of a T2 fuzzy variable takes on a real number is a regular fuzzy variable (RFV). T2 fuzziness, which is usually used to handle linguistic uncertainties, can be described as T2 fuz...

Allowing for flexible queries enables database users to express preferences inside minimal requirements, and, if necessary, priorities inside compound queries. In other words, clear-cut properties can be refined by ordering the interpretations compatible with them, according to user's preferences. Often the representation of these preferences can be viewed as modelling linguistic-like terms in ...

Uncertainty is a prominent feature of any major project. Yet, addressing this uncertainty and dealing with its impact is arguably one of the most remarkable topics of this period. Nevertheless, with the increased level of complexity and the emphasis on avoiding project cost overruns, there is an even higher emphasis on researchers to deliver an improved methodology for dealing with risk and unc...