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On a method of solving of possibilistic-probabilistic programming problems
Yu. E. Egorova Tver State University, Tver
Abstract:
The paper studies possibilistic-probabilistic optimization problems, based on the principle of expected possibility, and a method for solving its stochastic analogue in the case of the weakest t-norm describing the interaction of fuzzy parameters. The conditions that are easier to verify and ensure the convergence of the method of stochastic quasigradients of the solution of an equivalent stochastic analog are obtained.
Keywords:
possitbilistic-probabilistic optimization, stochastic quasi-gradient method, fuzzy random variable, the weakest t-norm.
Received: 25.12.2020 Revised: 06.05.2021
Citation:
Yu. E. Egorova, “On a method of solving of possibilistic-probabilistic programming problems”, Nechetkie Sistemy i Myagkie Vychisleniya, 16:1 (2021), 21–33
Linking options:
https://www.mathnet.ru/eng/fssc77 https://www.mathnet.ru/eng/fssc/v16/i1/p21
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Abstract page: | 159 | Full-text PDF : | 97 | References: | 43 |
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