Similarity as a Foundation for Possibility

Document Type

Article

Publication Date

2000

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Abstract

A semantics for possibilistic evidential reasoning is presented based on similarity with paradigmatic examples. The acquisition of evidence generates a pseudo-metric on the universe of discourse. It is shown that every possibility distribution can be realized as an embedding in a pseudo-metric space with the possibility values determined by the distance from distinguished elements in that space. Determining support based on similarity captures the fundamental characteristics of possibilistic analysis: optimistic and independent evaluation of the alternatives. The similarity semantics distinguishes possibility from classical approaches to classification and diagnosis problems based on probabilistic techniques.

Comments

Presented at the Ninth IEEE International Conference of Fuzzy Systems, 2000, San Antonio, TX.

DOI

10.1109/FUZZY.2000.839123

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