Evaluating Fuzzy Inequalities and Solving Fully Fuzzified Linear Fractional Programs
B. Stanojević, I.M. Stancu-Minasian (2012)
The Yugoslav Journal of Operations Research
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B. Stanojević, I.M. Stancu-Minasian (2012)
The Yugoslav Journal of Operations Research
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Arshad, Sadia, Lupulescu, Vasile (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Karla Carrero-Vera, Hugo Cruz-Suárez, Raúl Montes-de-Oca (2022)
Kybernetika
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The paper concerns Markov decision processes (MDPs) with both the state and the decision spaces being finite and with the total reward as the objective function. For such a kind of MDPs, the authors assume that the reward function is of a fuzzy type. Specifically, this fuzzy reward function is of a suitable trapezoidal shape which is a function of a standard non-fuzzy reward. The fuzzy control problem consists of determining a control policy that maximizes the fuzzy expected total reward,...
Pop, Bogdana (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Jaroslav Ramík (1983)
Kybernetika
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Janusz Kacprzyk (1997)
Mathware and Soft Computing
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We discuss a prescriptive approach to multistage optimal fuzzy control of a fuzzy system, given by a fuzzy state transition equation. Fuzzy constraints and fuzzy goals at consecutive control stages are given, and their confluence, Bellman and Zadeh's fuzzy decision, is an explicit performance function to be optimized. First, we briefly survey previous basic solution methods of dynamic programming (Baldwin and Pilsworth, 1982) and branch-and-bound (Kacprzyk, 1979), which are plagued by...
Chinnadurai Veeramani, Muthukumar Sumathi (2014)
RAIRO - Operations Research - Recherche Opérationnelle
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In this paper, a solution procedure is proposed to solve fuzzy linear fractional programming (FLFP) problem where cost of the objective function, the resources and the technological coefficients are triangular fuzzy numbers. Here, the FLFP problem is transformed into an equivalent deterministic multi-objective linear fractional programming (MOLFP) problem. By using Fuzzy Mathematical programming approach transformed MOLFP problem is reduced single objective linear programming (LP) problem....
Mariano Jiménez López, María Victoria Rodríguez Uría, María del Mar Arenas Parra, Amelia Bilbao Terol (2000)
Mathware and Soft Computing
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In this paper we propose a method to solve a linear programming problem involving fuzzy parameters whose possibility distributions are given by fuzzy numbers. To address the above problem we have used a preference relationship of fuzzy numbers that leads us to a solving method that produces the so-called α-degree feasible solutions. It must be pointed out that the final solution of the problem depends critically on this degree of feasibility, which is in conflict with the optimal value...
Karel Zimmermann (2011)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The aim of this short contribution is to point out some applications of systems of so called two-sided -linear systems of equations and inequalities of [Gavalec, M., Zimmermann, K.: Solving systems of two-sided (max,min)-linear equations Kybernetika 46 (2010), 405–414.] to solving some fuzzy set multiple fuzzy goal problems. The paper describes one approach to formulating and solving multiple fuzzy goal problems. The fuzzy goals are given as fuzzy sets and we look for a fuzzy set, the...
Bogdana Stanojević, Milan Stanojević (2009)
The Yugoslav Journal of Operations Research
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