A random fuzzy programming models based on possibilistic programming

Hideki Katagiri; Takashi Hasuike; Hiroaki Ishii

doi:10.1109/ICSMC.2008.4811548

A random fuzzy programming models based on possibilistic programming

Hideki Katagiri, Takashi Hasuike, Hiroaki Ishii

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

13 Citations (Scopus)

Abstract

This paper considers linear programming problems where each coefficient of the objective function is expressed by a random fuzzy variable. New decision making models are proposed based on stochastic and possibilistic programming in order to maximize both of possibility and probability with respect to the objective function value. It is shown that each of the proposed models is transformed into a deterministic equivalent one. Solution algorithms using convex programming techniques and/or the bisection method are provided for obtaining an optimal solution of each model.

Original language	English
Title of host publication	Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
Pages	1788-1793
Number of pages	6
DOIs	https://doi.org/10.1109/ICSMC.2008.4811548
Publication status	Published - 2008
Externally published	Yes
Event	2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008 - Singapore, Singapore Duration: 2008 Oct 12 → 2008 Oct 15

Other

Other	2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008
Country	Singapore
City	Singapore
Period	08/10/12 → 08/10/15

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Keywords

Linear program
Random fuzzy programming models
Random fuzzy variable

ASJC Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering
Human-Computer Interaction

Cite this

Katagiri, H., Hasuike, T., & Ishii, H. (2008). A random fuzzy programming models based on possibilistic programming. In Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics (pp. 1788-1793). [4811548] https://doi.org/10.1109/ICSMC.2008.4811548

Katagiri, H, Hasuike, T & Ishii, H 2008, A random fuzzy programming models based on possibilistic programming. in Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics., 4811548, pp. 1788-1793, 2008 IEEE International Conference on Systems, Man and Cybernetics, SMC 2008, Singapore, Singapore, 08/10/12. https://doi.org/10.1109/ICSMC.2008.4811548

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Access to Document

10.1109/ICSMC.2008.4811548