TY - GEN
T1 - A representative in group decision by means of the extended set of hesitant fuzzy linguistic term sets
AU - Montserrat-Adell, Jordi
AU - Agell, N.
AU - Sánchez, Mónica
AU - Ruiz, Francisco Javier
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2016.
PY - 2016
Y1 - 2016
N2 - Hesitant fuzzy linguistic term sets were introduced to grasp the uncertainty existing in human reasoning when expressing preferences. In this paper, an extension of the set of hesitant fuzzy linguistic term sets is presented to capture differences between non-compatible preferences. In addition, an order relation and two closed operation over this set are also introduced to provide a lattice structure to the extended set of hesitant fuzzy linguistic term sets. Based on this lattice structure a distance between hesitant fuzzy linguistic descriptions is defined. This distance enables differences between decision makers to be quantified. Finally, a representative of a decision making group is presented as the centroid of the group based on the introduced distance.
AB - Hesitant fuzzy linguistic term sets were introduced to grasp the uncertainty existing in human reasoning when expressing preferences. In this paper, an extension of the set of hesitant fuzzy linguistic term sets is presented to capture differences between non-compatible preferences. In addition, an order relation and two closed operation over this set are also introduced to provide a lattice structure to the extended set of hesitant fuzzy linguistic term sets. Based on this lattice structure a distance between hesitant fuzzy linguistic descriptions is defined. This distance enables differences between decision makers to be quantified. Finally, a representative of a decision making group is presented as the centroid of the group based on the introduced distance.
KW - Group decision making
KW - Hesitant fuzzy linguistic term sets
KW - Linguistic modeling
KW - Uncertainty and fuzzy reasoning
UR - https://www.scopus.com/pages/publications/84989318636
U2 - 10.1007/978-3-319-45656-0_5
DO - 10.1007/978-3-319-45656-0_5
M3 - Conference contribution
AN - SCOPUS:84989318636
SN - 9783319456553
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 56
EP - 67
BT - Modeling Decisions for Artificial Intelligence - 13th International Conference, MDAI 2016, Proceedings
A2 - Navarro-Arribas, Guillermo
A2 - Yañez, Cristina
A2 - Narukawa, Yasuo
A2 - Torra, Vicenç
PB - Springer Verlag
T2 - 13th International Conference on Modeling Decisions for Artificial Intelligence, MDAI 2016
Y2 - 19 September 2016 through 21 September 2016
ER -