Decision-Making Based on Multi-Attribute Value Theory Under Preference Uncertainty

DOI

10.2991/itids-19.2019.32How to use a DOI?

Keywords

decision-making, value theory, fuzzy number, interval

Abstract

This paper advances the multi-attribute value theory to take into account the uncertainty of the decision-maker’s preferences with respect to the value of assessments and importance of attributes. It considers the basic steps of the original method of multi-attribute value theory against the modified one. The modified method can use the decision-maker’s responses as fuzzy triangular numbers to construct single-attribute value functions and to find the scaling coefficients. The paper presents an approach to finding fuzzy scaling coefficients by comparing paired matches and generating a system of linear equations with fuzzy coefficients. It is proposed to solve the system of equations by representing it as a set of systems of interval equations derived by splitting fuzzy sets by α levels. Multi-attribute fuzzy assessment of alternatives is carried out by solving linear programming problems based on systems of equations pertaining to individual α levels. The paper provides an example of using the modified method for multi-attribute comparison of alternatives.

Copyright

© 2019, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Vladislav Shakirov
PY  - 2019/05
DA  - 2019/05
TI  - Decision-Making Based on Multi-Attribute Value Theory Under Preference Uncertainty
BT  - Proceedings of the 7th Scientific Conference on Information Technologies for Intelligent Decision Making Support (ITIDS 2019)
PB  - Atlantis Press
SP  - 177
EP  - 183
SN  - 1951-6851
UR  - https://doi.org/10.2991/itids-19.2019.32
DO  - 10.2991/itids-19.2019.32
ID  - Shakirov2019/05
ER  -