k-minitive capacities and k-minitive aggregation functions

k-minitive capacities and k-minitive aggregation functions

The main aim of this paper is to evoke more attentions on the dual concepts of k-maxitive capacity and k-maxitive aggregation, called k-minitive capacity and k-minitive aggregation by convention. We point out that possibility and necessity capacities, and k-tolerant and k-intolerant capacities are s...

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Veröffentlicht in:Journal of intelligent & fuzzy systems 2019-01, Vol.37 (2), p.2797-2808
Hauptverfasser: Wu, Jian-Zhang, Beliakov, Gleb
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Sprache:eng
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Agglomeration
Integer programming
Mixed integer
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Beliakov, Gleb
description The main aim of this paper is to evoke more attentions on the dual concepts of k-maxitive capacity and k-maxitive aggregation, called k-minitive capacity and k-minitive aggregation by convention. We point out that possibility and necessity capacities, and k-tolerant and k-intolerant capacities are special cases of k-maxitive and k-minitive capacities. We also discuss some properties of k-minitive aggregation dual to those of the k-maxitive aggregation functions. For the purport of advocating the application of k-minitive and k-maxitive capacities, we finally present the mixed integer programming based identification method and illustrate its steps and results through an example.
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Integer programming
Mixed integer
title k-minitive capacities and k-minitive aggregation functions
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