Multiobjective Programming Approaches to Obtain the Priority Vectors under Uncertain Probabilistic Dual Hesitant Fuzzy Preference Environment

Authors

Songtao Shao^1, , Xiaohong Zhang^{2, *}

¹School of Arts and Science, Shaanxi University of Science & Technology, Xi'an Weiyang University Park, Xi'an, Shaanxi Province, China

²Shaanxi Joint Laboratory of artificial intelligence, Shaanxi University of Science & technology, Xi'an 710021, China

^*Corresponding author. Email: 201740310005@stu.shmtu.edu.cn

DOI

10.2991/ijcis.d.210304.001How to use a DOI?

Keywords

Uncertain probabilistic dual hesitant fuzzy number; Preference relation; Priority vector; Group decision-making; Multiplicative consistency

Abstract

This paper develops uncertain probabilistic dual hesitant fuzzy numbers (UPDHFN), which includes six types of dual hesitant fuzzy sets (DHFNs). Next, the UPDHFN is applied to the uncertain probabilistic dual hesitant fuzzy preference relation (UPDHFPR). Furthermore, the (acceptable) expected consistency, method of obtaining uncertain probabilistic information, and consistency-increasing iterative algorithm for flexible application of UPDHFPRs are explained respectively. Then, the UPDHFPRs and these approaches are applied to group decision-making procedure. Two operators are established to aggregate the UPDHFPRs and the integrated preference relations are also UPDHFPRs. In this model, due to the aggregated UPDHFPRs may be inconsistent. Thus an acceptable group consistency algorithm is designed. The group decision-making process is summarized under the UPDHFPR situation. Eventually, an illustrate example that selects the optimal alternative from three listed candidates is provided to verify our methods.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

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

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TY  - JOUR
AU  - Songtao Shao
AU  - Xiaohong Zhang
PY  - 2021
DA  - 2021/03/19
TI  - Multiobjective Programming Approaches to Obtain the Priority Vectors under Uncertain Probabilistic Dual Hesitant Fuzzy Preference Environment
JO  - International Journal of Computational Intelligence Systems
SP  - 1189
EP  - 1207
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.210304.001
DO  - 10.2991/ijcis.d.210304.001
ID  - Shao2021
ER  -