# Interactive Fuzzy Decision Making for Multiobjective Fuzzy Random Linear Programming Problems

### Hitoshi Yano, Masatoshi Sakawa

#### Abstract

In this paper, we propose an interactive fuzzy decision making method for multiobjective fuzzy random linear programming problems (MOFRLP), in which the criteria of probability maximization and fractile optimization are considered simultaneously. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only objective functions of MOFRLP but also permissible probability levels in a fractile optimization model for MOFRLP, and such fuzzy goals are quantified by eliciting the corresponding membership functions. Using the fuzzy decision, such two kinds of membership functions are integrated. In the integrated membership space, the satisfactory solution is obtained from among a Pareto optimal solution set through the interaction with the decision maker.

#### References

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#### Paper Citation

#### in Harvard Style

Yano H. and Sakawa M. (2012). **Interactive Fuzzy Decision Making for Multiobjective Fuzzy Random Linear Programming Problems** . In *Proceedings of the 4th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (IJCCI 2012)* ISBN 978-989-8565-33-4, pages 319-328. DOI: 10.5220/0004087003190328

#### in Bibtex Style

@conference{fcta12,

author={Hitoshi Yano and Masatoshi Sakawa},

title={Interactive Fuzzy Decision Making for Multiobjective Fuzzy Random Linear Programming Problems},

booktitle={Proceedings of the 4th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (IJCCI 2012)},

year={2012},

pages={319-328},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004087003190328},

isbn={978-989-8565-33-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 4th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (IJCCI 2012)

TI - Interactive Fuzzy Decision Making for Multiobjective Fuzzy Random Linear Programming Problems

SN - 978-989-8565-33-4

AU - Yano H.

AU - Sakawa M.

PY - 2012

SP - 319

EP - 328

DO - 10.5220/0004087003190328