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...

This paper proposes a utility theory for decision making under uncertainty that is described by possibility theory. We show that our approach is a natural generalization of the two axiomatic systems that correspond to pessimistic and optimistic decision criteria proposed by Dubois et al. The generalization is achieved by removing axioms that are supposed to reflect attitudes toward uncertainty,...

This paper proposes to analyze two flow line systems in which we include possibilistic data -the priority-discipline is possibilistic instead of probabilisticand measure the performances of the systems with the effectiveness measure “waiting time in queue”. In a previous work we have analyzed and developed a queuing model with uncertain priority-discipline, using Zadeh’s extension principle. Be...

This paper introduces the notions of independence and conditional independence in valuation-based systems (VBS). VBS is an axiomatic framework capable of representing many different uncertainty calculi. We define independence and conditional independence in terms of factorization of the joint valuation. The definitions of independence and conditional independence in VBS generalize the correspon...

This paper introduces the nolions of independence and conditional independence in valuation-based systems (VBS). VBS is an axiomatic framework capable of representing many different uncertainty calculi. We define independence and conditional independence in terms of factorization of the joint valuation. The definitions of independence and conditional independence in VBS generalize the correspon...

This contribution overviews the approaches results and history of attempts at measuring uncertainty and information in the various theories of imprecise prob abilities The main focus however is on the theory of belief functions or the Dempster Shafer theory and the possibility theory as most of the devel opment so far has happened there Due to the limited space I am focusing on the main ideas a...

Based on the transformative learning theory, it was sought to develop a procedure for helping teachers develop professionally. 13 elementary school teachers in one of the boys schools in Tehran’s district one participated in a workshop consisting of ten sessions and then interviewed. The content of the sessions was drawn from the theoretical basis of the study. Further field observations led to...