# Multi-level multi-objective decision problem through fuzzy random regression based objective function

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

### Abstract

A multi-level decision making problem confronts several issues especially in coordinating decision in hierarchic processes and in compromising conflicting objectives for each decision level. Therefore, its mathematical model plays a pivotal role in solving such problem, and is influencing to the final result. However, it is sometimes difficult to estimate the coefficients of objective functions of the model in real situations specifically when the statistical data contain random and fuzzy information. Thus, decision making scheme should provide an appropriate method to handle the presence of such uncertainties. Hence, this paper proposes a fuzzy random regression method to estimate the coefficients value for the objective functions of multi-level multi-objective model. The algorithm is constructed to obtain a satisfaction solution, which fulfills at least weak Pareto optimality. A numerical example illustrates the proposed solution procedure.

Original language English IEEE International Conference on Fuzzy Systems 557-563 7 https://doi.org/10.1109/FUZZY.2011.6007355 Published - 2011 2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011 - TaipeiDuration: 2011 Jun 27 → 2011 Jun 30

### Other

Other 2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011 Taipei 11/6/27 → 11/6/30

### Fingerprint

Decision problem
Objective function
Regression
Decision making
Decision Making
Pareto Optimality
Fuzzy Information
Coefficient
Estimate
Mathematical Model
Mathematical models
Uncertainty
Numerical Examples
Model

### Keywords

• fuzzy random regression model
• multi-level problem
• multi-objective

### ASJC Scopus subject areas

• Software
• Artificial Intelligence
• Applied Mathematics
• Theoretical Computer Science

### Cite this

Arbaiy, N., & Watada, J. (2011). Multi-level multi-objective decision problem through fuzzy random regression based objective function. In IEEE International Conference on Fuzzy Systems (pp. 557-563).  https://doi.org/10.1109/FUZZY.2011.6007355

Multi-level multi-objective decision problem through fuzzy random regression based objective function. / Arbaiy, Nureize; Watada, Junzo.

IEEE International Conference on Fuzzy Systems. 2011. p. 557-563 6007355.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Arbaiy, N & Watada, J 2011, Multi-level multi-objective decision problem through fuzzy random regression based objective function. in IEEE International Conference on Fuzzy Systems., 6007355, pp. 557-563, 2011 IEEE International Conference on Fuzzy Systems, FUZZ 2011, Taipei, 11/6/27. https://doi.org/10.1109/FUZZY.2011.6007355
Arbaiy N, Watada J. Multi-level multi-objective decision problem through fuzzy random regression based objective function. In IEEE International Conference on Fuzzy Systems. 2011. p. 557-563. 6007355 https://doi.org/10.1109/FUZZY.2011.6007355
Arbaiy, Nureize ; Watada, Junzo. / Multi-level multi-objective decision problem through fuzzy random regression based objective function. IEEE International Conference on Fuzzy Systems. 2011. pp. 557-563
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