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Nechetkie Sistemy i Myagkie Vychisleniya, 2016, Volume 11, Issue 1, Pages 19–32
(Mi fssc2)
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On solution method for possibilistic optimization problem of one class with parameters characterized by quasiconcave upper semicontinuous strictly unimodal distribution functions
I. S. Soldatenko Tver State University
Abstract:
The problem of possibilistic level optimization with parameters characterized by quasiconcave upper semicontinuous strictly unimodal distribution functions is studied. The equivalent crisp analogue is constructed for the problem. We use the weakest and the strongest triangular norms in order to aggregate fuzzy information. Results obtained in the article generalize the case when parameters of the task are characterized by parameterized fuzzy numbers of $(L,R)$-type.
Keywords:
possibilistic programming, level optimization, triangular norm, weakest t-norm Tw, indirect solution method, equivalent crisp analogue.
Received: 11.01.2016 Revised: 22.01.2016
Citation:
I. S. Soldatenko, “On solution method for possibilistic optimization problem of one class with parameters characterized by quasiconcave upper semicontinuous strictly unimodal distribution functions”, Nechetkie Sistemy i Myagkie Vychisleniya, 11:1 (2016), 19–32
Linking options:
https://www.mathnet.ru/eng/fssc2 https://www.mathnet.ru/eng/fssc/v11/i1/p19
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Abstract page: | 223 | Full-text PDF : | 119 | References: | 32 |
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