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Optimal solution of fuzzy optimization using pentagonal fuzzy numbers
AIP Conference Proceedings, 2018The fundamental goal of portfolio optimization is to optimally allocate funds between different investment alternatives. The mean-variance (MV) methodology has become the most important quantitative tool used which considers the trade-off between risk and return.
Suhailywati Ramli, Saiful Hafizah Jaaman
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A Characterization of Optimal Fuzzy Sets in Fuzzy Optimization
Journal of Intelligent & Fuzzy Systems, 1993Based on the proposal of defining the optimal fuzzy set of a given objective function with a fuzzy constraint by Kacprzyk and Orlovski, we derive a technique to determine the optimal fuzzy set of the mathematical programming problem. A formula for the computation of the optimal fuzzy set for a special type of functions is given in the paper.
Tan, Sie-Keng, Wang, Pei-Zhuang
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Fuzzy Sets and Systems, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filev, Dimiter, Angelov, Plamen
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Filev, Dimiter, Angelov, Plamen
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2008 International Conference on Computer Science and Information Technology, 2008
This paper is devoted to the problem of robust fuzzy optimization. To this end, we incorporate fuzziness into the current hot research topic robust optimization and thus obtain the so-called robust fuzzy optimization model. Deterministically equivalent problem of this model is derived, and two algorithms for solving the derived problem are posed ...
Xiangdong Chen, Junwei Li
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This paper is devoted to the problem of robust fuzzy optimization. To this end, we incorporate fuzziness into the current hot research topic robust optimization and thus obtain the so-called robust fuzzy optimization model. Deterministically equivalent problem of this model is derived, and two algorithms for solving the derived problem are posed ...
Xiangdong Chen, Junwei Li
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Fuzzy Numbers and Fuzzy Optimization
2019A fuzzy number is a quantity whose value is imprecise rather than exact as is the case with single-valued number.
Sahidul Islam, Wasim Akram Mandal
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Fuzzy Reasoning for Fuzzy Optimization
2002Following Fuller and Zimmermann [135], we interpret fuzzy linear programming (FLP) problems with fuzzy coefficients and fuzzy inequality relations as multiple fuzzy reasoning schemes (MFR) , where the antecedents of the scheme correspond to the constraints of the FLP problem and the fact of the scheme is the objective of the FLP problem.
Christer Carlsson, Robert Fullér
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Fuzzy Optimal Control for Multistage Fuzzy Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 2011In the case that a system is affected by fuzzy factors, a fuzzy optimal-control problem is proposed. A fuzzy optimal-control problem for a multistage fuzzy system is considered to optimize the expected value of a fuzzy objective function subject to a multistage fuzzy system where, at every stage, the system is disturbed by a fuzzy variable.
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Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology, 2000
The conventional design of fuzzy logic controller uses human intuition and experience, which rarely constitutes an optimal design. In this paper, a systematic design procedure is presented to realize the optimal fuzzy logic regulator. The proposed scheme minimizes a suitable criterion function employing the steepest descent method.
Ahmed, MS +3 more
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The conventional design of fuzzy logic controller uses human intuition and experience, which rarely constitutes an optimal design. In this paper, a systematic design procedure is presented to realize the optimal fuzzy logic regulator. The proposed scheme minimizes a suitable criterion function employing the steepest descent method.
Ahmed, MS +3 more
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2019
The decision making problems mostly involve optimization of multiple conflicting objectives. The investigation of trade-off between the objectives under a prescribed set of constraints generates a bunch of Pareto-optimal solutions. In this chapter the multiobjective optimization problem is studied in fuzzy environment. The concept of efficient solution
Debdas Ghosh, Debjani Chakraborty
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The decision making problems mostly involve optimization of multiple conflicting objectives. The investigation of trade-off between the objectives under a prescribed set of constraints generates a bunch of Pareto-optimal solutions. In this chapter the multiobjective optimization problem is studied in fuzzy environment. The concept of efficient solution
Debdas Ghosh, Debjani Chakraborty
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Fuzzy information and optimal fuzzy partition
PeachFuzz 2000. 19th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.00TH8500), 2002The paper is devoted to the problem of measuring fuzzy information. Based on the extension of crisp stochastical approaches into fuzzy cases a concept and measure of the fuzzy information are proposed. Aspects of transferring the fuzzy information through fuzzy controllers using different fuzzy control models are also studied which allow us to ...
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