The prametric-based GDM selection procedure under linguistic assessments

Fujun Hou

doi:10.1109/FUZZ-IEEE.2015.7337821

The prametric-based GDM selection procedure under linguistic assessments

Fujun Hou^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

10 Citations (Scopus)

Abstract

The prametric-based procedure is a group decision making (GDM) selection process minimizing a consensus gap indicator, which is not a metric but a prametric. The prametric is an 'almost metric' which does not necessarily satisfy the triangle inequality but able to describe the consensus intransitivity in GDM. This paper considers the procedure under a linguistic situation, where the individuals preferences are provided as linguistic preference relations. The procedure contains two main stages. The first stage looks for the individual's ties-permitted ordinal rankings from the individual's opinions. In order to do this, we introduce an acceptable consistency criterion for linguistic preference relations and show some related properties. If the linguistic preference relation is acceptable, we then obtain the ties-permitted ordinal ranking directly. Otherwise, the ties-permitted ordinal ranking will be deduced by minimizing a consensus gap. The second stage looks for the final solution sets of alternatives by minimizing the gap between a potential solution and the rankings obtained in the first stage. Some illustrative examples are included.

Original language	English
Title of host publication	FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems
Editors	Adnan Yazici, Nikhil R. Pal, Hisao Ishibuchi, Bulent Tutmez, Chin-Teng Lin, Joao M. C. Sousa, Uzay Kaymak, Trevor Martin
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781467374286
DOIs	https://doi.org/10.1109/FUZZ-IEEE.2015.7337821
Publication status	Published - 25 Nov 2015
Event	IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015 - Istanbul, Turkey Duration: 2 Aug 2015 → 5 Aug 2015

Publication series

Name	IEEE International Conference on Fuzzy Systems
Volume	2015-November
ISSN (Print)	1098-7584

Conference

Conference	IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015
Country/Territory	Turkey
City	Istanbul
Period	2/08/15 → 5/08/15

Access to Document

10.1109/FUZZ-IEEE.2015.7337821

Cite this

Hou, F. (2015). The prametric-based GDM selection procedure under linguistic assessments. In A. Yazici, N. R. Pal, H. Ishibuchi, B. Tutmez, C.-T. Lin, J. M. C. Sousa, U. Kaymak, & T. Martin (Eds.), FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems Article 7337821 (IEEE International Conference on Fuzzy Systems; Vol. 2015-November). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FUZZ-IEEE.2015.7337821

Hou, Fujun. / The prametric-based GDM selection procedure under linguistic assessments. FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems. editor / Adnan Yazici ; Nikhil R. Pal ; Hisao Ishibuchi ; Bulent Tutmez ; Chin-Teng Lin ; Joao M. C. Sousa ; Uzay Kaymak ; Trevor Martin. Institute of Electrical and Electronics Engineers Inc., 2015. (IEEE International Conference on Fuzzy Systems).

@inproceedings{472d022dd983472bb6037504fe4d974a,

title = "The prametric-based GDM selection procedure under linguistic assessments",

abstract = "The prametric-based procedure is a group decision making (GDM) selection process minimizing a consensus gap indicator, which is not a metric but a prametric. The prametric is an 'almost metric' which does not necessarily satisfy the triangle inequality but able to describe the consensus intransitivity in GDM. This paper considers the procedure under a linguistic situation, where the individuals preferences are provided as linguistic preference relations. The procedure contains two main stages. The first stage looks for the individual's ties-permitted ordinal rankings from the individual's opinions. In order to do this, we introduce an acceptable consistency criterion for linguistic preference relations and show some related properties. If the linguistic preference relation is acceptable, we then obtain the ties-permitted ordinal ranking directly. Otherwise, the ties-permitted ordinal ranking will be deduced by minimizing a consensus gap. The second stage looks for the final solution sets of alternatives by minimizing the gap between a potential solution and the rankings obtained in the first stage. Some illustrative examples are included.",

author = "Fujun Hou",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015 ; Conference date: 02-08-2015 Through 05-08-2015",

year = "2015",

month = nov,

day = "25",

doi = "10.1109/FUZZ-IEEE.2015.7337821",

language = "English",

series = "IEEE International Conference on Fuzzy Systems",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

editor = "Adnan Yazici and Pal, {Nikhil R.} and Hisao Ishibuchi and Bulent Tutmez and Chin-Teng Lin and Sousa, {Joao M. C.} and Uzay Kaymak and Trevor Martin",

booktitle = "FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems",

address = "United States",

}

Hou, F 2015, The prametric-based GDM selection procedure under linguistic assessments. in A Yazici, NR Pal, H Ishibuchi, B Tutmez, C-T Lin, JMC Sousa, U Kaymak & T Martin (eds), FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems., 7337821, IEEE International Conference on Fuzzy Systems, vol. 2015-November, Institute of Electrical and Electronics Engineers Inc., IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015, Istanbul, Turkey, 2/08/15. https://doi.org/10.1109/FUZZ-IEEE.2015.7337821

The prametric-based GDM selection procedure under linguistic assessments. / Hou, Fujun.
FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems. ed. / Adnan Yazici; Nikhil R. Pal; Hisao Ishibuchi; Bulent Tutmez; Chin-Teng Lin; Joao M. C. Sousa; Uzay Kaymak; Trevor Martin. Institute of Electrical and Electronics Engineers Inc., 2015. 7337821 (IEEE International Conference on Fuzzy Systems; Vol. 2015-November).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - The prametric-based GDM selection procedure under linguistic assessments

AU - Hou, Fujun

PY - 2015/11/25

Y1 - 2015/11/25

N2 - The prametric-based procedure is a group decision making (GDM) selection process minimizing a consensus gap indicator, which is not a metric but a prametric. The prametric is an 'almost metric' which does not necessarily satisfy the triangle inequality but able to describe the consensus intransitivity in GDM. This paper considers the procedure under a linguistic situation, where the individuals preferences are provided as linguistic preference relations. The procedure contains two main stages. The first stage looks for the individual's ties-permitted ordinal rankings from the individual's opinions. In order to do this, we introduce an acceptable consistency criterion for linguistic preference relations and show some related properties. If the linguistic preference relation is acceptable, we then obtain the ties-permitted ordinal ranking directly. Otherwise, the ties-permitted ordinal ranking will be deduced by minimizing a consensus gap. The second stage looks for the final solution sets of alternatives by minimizing the gap between a potential solution and the rankings obtained in the first stage. Some illustrative examples are included.

AB - The prametric-based procedure is a group decision making (GDM) selection process minimizing a consensus gap indicator, which is not a metric but a prametric. The prametric is an 'almost metric' which does not necessarily satisfy the triangle inequality but able to describe the consensus intransitivity in GDM. This paper considers the procedure under a linguistic situation, where the individuals preferences are provided as linguistic preference relations. The procedure contains two main stages. The first stage looks for the individual's ties-permitted ordinal rankings from the individual's opinions. In order to do this, we introduce an acceptable consistency criterion for linguistic preference relations and show some related properties. If the linguistic preference relation is acceptable, we then obtain the ties-permitted ordinal ranking directly. Otherwise, the ties-permitted ordinal ranking will be deduced by minimizing a consensus gap. The second stage looks for the final solution sets of alternatives by minimizing the gap between a potential solution and the rankings obtained in the first stage. Some illustrative examples are included.

UR - http://www.scopus.com/inward/record.url?scp=84975686299&partnerID=8YFLogxK

U2 - 10.1109/FUZZ-IEEE.2015.7337821

DO - 10.1109/FUZZ-IEEE.2015.7337821

M3 - Conference contribution

AN - SCOPUS:84975686299

T3 - IEEE International Conference on Fuzzy Systems

BT - FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems

A2 - Yazici, Adnan

A2 - Pal, Nikhil R.

A2 - Ishibuchi, Hisao

A2 - Tutmez, Bulent

A2 - Lin, Chin-Teng

A2 - Sousa, Joao M. C.

A2 - Kaymak, Uzay

A2 - Martin, Trevor

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2015

Y2 - 2 August 2015 through 5 August 2015

ER -

Hou F. The prametric-based GDM selection procedure under linguistic assessments. In Yazici A, Pal NR, Ishibuchi H, Tutmez B, Lin CT, Sousa JMC, Kaymak U, Martin T, editors, FUZZ-IEEE 2015 - IEEE International Conference on Fuzzy Systems. Institute of Electrical and Electronics Engineers Inc. 2015. 7337821. (IEEE International Conference on Fuzzy Systems). doi: 10.1109/FUZZ-IEEE.2015.7337821

The prametric-based GDM selection procedure under linguistic assessments

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this