A Linguistic Fuzzy Approach to the Consensus Reaching in Multiple Criteria Group Decision-making Problems

Vojtěch Sukač; Jana Talašová; Jan Stoklasa

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2016)

  • Volume: 55, Issue: 1, page 133-150
  • ISSN: 0231-9721

Abstract

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The paper introduces a new method of reaching a consensus in multiple criteria group decision-making under fuzziness. This model is based on the general definition of the ‘soft’ consensus introduced by Kacprzyk and Fedrizzi in 1986. The fuzzy evaluations of alternatives express degrees of fulfillment of the given goals by the respective alternatives for each expert. The selection of the best alternative is based on the fuzzy consensus by experts. For this purpose a set of alternatives which are good enough with respect to the most of relevant experts is identified. From this set the alternative with the highest center of gravity (defuzzified fuzzy evaluation) is selected as the most promising one.

How to cite

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Sukač, Vojtěch, Talašová, Jana, and Stoklasa, Jan. "A Linguistic Fuzzy Approach to the Consensus Reaching in Multiple Criteria Group Decision-making Problems." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 55.1 (2016): 133-150. <http://eudml.org/doc/286711>.

@article{Sukač2016,
abstract = {The paper introduces a new method of reaching a consensus in multiple criteria group decision-making under fuzziness. This model is based on the general definition of the ‘soft’ consensus introduced by Kacprzyk and Fedrizzi in 1986. The fuzzy evaluations of alternatives express degrees of fulfillment of the given goals by the respective alternatives for each expert. The selection of the best alternative is based on the fuzzy consensus by experts. For this purpose a set of alternatives which are good enough with respect to the most of relevant experts is identified. From this set the alternative with the highest center of gravity (defuzzified fuzzy evaluation) is selected as the most promising one.},
author = {Sukač, Vojtěch, Talašová, Jana, Stoklasa, Jan},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Fuzzy; group decision-making; multicriteria evaluation; fuzzy weighted average; consensus reaching; fuzzy quantifiers},
language = {eng},
number = {1},
pages = {133-150},
publisher = {Palacký University Olomouc},
title = {A Linguistic Fuzzy Approach to the Consensus Reaching in Multiple Criteria Group Decision-making Problems},
url = {http://eudml.org/doc/286711},
volume = {55},
year = {2016},
}

TY - JOUR
AU - Sukač, Vojtěch
AU - Talašová, Jana
AU - Stoklasa, Jan
TI - A Linguistic Fuzzy Approach to the Consensus Reaching in Multiple Criteria Group Decision-making Problems
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2016
PB - Palacký University Olomouc
VL - 55
IS - 1
SP - 133
EP - 150
AB - The paper introduces a new method of reaching a consensus in multiple criteria group decision-making under fuzziness. This model is based on the general definition of the ‘soft’ consensus introduced by Kacprzyk and Fedrizzi in 1986. The fuzzy evaluations of alternatives express degrees of fulfillment of the given goals by the respective alternatives for each expert. The selection of the best alternative is based on the fuzzy consensus by experts. For this purpose a set of alternatives which are good enough with respect to the most of relevant experts is identified. From this set the alternative with the highest center of gravity (defuzzified fuzzy evaluation) is selected as the most promising one.
LA - eng
KW - Fuzzy; group decision-making; multicriteria evaluation; fuzzy weighted average; consensus reaching; fuzzy quantifiers
UR - http://eudml.org/doc/286711
ER -

References

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