منابع مشابه
A powerdomain of possibility measures
We provide a domain-theoretic framework for possibility theory by studying possibility measures on the lattice of opens of a topological space. The powerspaces Poss(X) and Poss 0;1] (X) of all such maps extend to functors in the natural way. We may think of possibility measures as continuous valuations by replacing`+' with`_' in their modular law. The functors above send continuous maps to sup-...
متن کاملPossibility measures and possibility integrals defined on a complete lattice
We consider the definition of possibility measures on complete lattices rather than on complete Boolean algebras of sets. We give a necessary and sufficient condition for the extendability of any mapping to such a possibility measure. We also associate two types of integrals with these possibility measures, and discuss some of their more important properties, amongst which a monotone convergenc...
متن کاملA random set characterization of possibility measures
Several authors have pointed out the relationship between consonant random sets and possibility measures. However, this relationship has only been proven for the finite case, where the inverse M€ obius of the upper probability induced by the random set simplifies the computations to a great extent. In this paper, we study the connection between both concepts for arbitrary referential spaces. We...
متن کاملFuzzy relations, Possibility theory, Measures of uncertainty, Mathematical modeling.
A central aim of educational research in the area of mathematical modeling and applications is to recognize the attainment level of students at defined states of the modeling process. In this paper, we introduce principles of fuzzy sets theory and possibility theory to describe the process of mathematical modeling in the classroom. The main stages of the modeling process are represented as fuzz...
متن کاملA Fuzzy Lower Powerdomain
The power set of a domain D can be seen as the function space D ! 2 of all functions in the pointwise order. One computational version thereof is the lifted lower powerdomain, which we can think of as the lattice of Scott-closed subsets or, alternatively, as the order dual of the function space D ! 2]. Therefore, logic and the ordinary power set, as well as its information-theoretic version, re...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Electronic Notes in Theoretical Computer Science
سال: 1997
ISSN: 1571-0661
DOI: 10.1016/s1571-0661(05)80161-6