Abstract
A comprehensive model for evaluating specificity of fuzzy sets is presented. It is designed in terms of possibility values, independent of the domain of discourse. For a discrete distribution π = (p1 ≥ p2 ≥ …) two measures are defined exponential logarithmic I(π) =∑(pi - Pi+1)log i Measure Sp(π) is derived from a few intuitively plausible properties of specificity; measure I(π) is dual to nonspecificity in Dempster-Shafer theory.
The resulting model has a natural OWA structure, which follows necessarily from the basic assumptions. This leads to an inverse problem, one of developing, within the general OWA framework, the features successfully employed in specificity and uncertainty models. We suggest some directions in the concluding section.
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Ramer, A. (1997). OWA Specificity. In: Yager, R.R., Kacprzyk, J. (eds) The Ordered Weighted Averaging Operators. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6123-1_9
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DOI: https://doi.org/10.1007/978-1-4615-6123-1_9
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