Possibility and Necessity Measures to Enhance Reliability and Cooperation in MANETS.

Generalized Possibility and Necessity Measures on Fields of Sets

We give a generalization of possibility and necessity measures: their domains are extended towards fields of sets, and their codomains towards arbitrary complete lattices. In this way, these measures can be associated with (Q,≤)-fuzzy sets, where (Q,≤) is at least a poset. An important inconsistency problem, intricately linked with this association, is solved. It is argued that order lies at th...

The construction of consistent possibility and necessity measures

Possibility and necessity integrals

Abstract: In this paper, we introduce seminormed and semiconormed fuzzy integrals associated with confidence measures. These confidence measures have a field of sets as their domain, and a complete lattice as their codomain. In introducing these integrals, the analogy with the classical introduction of Legesgue integrals is explored and exploited. It is amongst other things shown that our integ...

A simplified technique for using necessity-possibility measures

A new technique o f uncertainty management in expert systems is proposed. It is suggested that the possibility theory-based treatment o f uncertainty (developed by D. Dubois and H. Prade) in inference engines be simplified by using a combination o f possibility and necessity measures, namely N + FI 1, rather than using the possibility measure 17 and the necessity measure N separately. This comb...

Possibility and necessity in weighted aggregation

Yager [14] discussed the issue of weighted min and max aggregations and provided for a formalization of the process of importance weighted transformation. Generalizing Yager’s principle we suggest the use of fuzzy implication operators for importance weighted transformation.