From Necessity to Possibility

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...

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.

From Possibility to Properties? Or from Properties to Possibility?

This paper contrasts two metaphysical accounts of modality and properties: Modal Realism which treats possible entities as primitive; and Strong Dispositionalism in which metaphysical possibility and necessity are determined by actually existing dispositions or powers. I argue that Strong Dispositionalism loses its initial advantages of simplicity and parsimony over Modal Realism as it is exten...

The construction of consistent possibility and necessity measures

Possibility and Necessity Evaluations based on Ordinal Comparability

Subjective uncertainty is one of the most essential subjects for evaluation that was the reason Fuzzy theory was proposed. Related research areas are widely spread such as decision making, data analysis, information retrieval, psychology, and human computer interaction and so on. As a basis for various researches mathematical interpretation of evaluation methods occupies an important position. ...