Some preference relations based on q-rung orthopair fuzzy sets

被引：46
作者：
Li, Hongxu [1 ]
Yin, Songyi [1 ]
Yang, Yang [1 ,2 ]
机构：
[1] Hebei Univ Engn, Sch Management Engn & Business, Intelligent Comp & Financial Secur Lab, Handan, Peoples R China
[2] Hebei Univ Engn, Sch Management Engn & Business, Handan 056038, Hebei, Peoples R China
来源：
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS | 2019年 / 34卷 / 11期
基金：
中国国家自然科学基金;
关键词：
incomplete q-rung orthopair fuzzy preference relation; preference relation; q-rung orthopair fuzzy preference relation; q-rung orthopair fuzzy set; score function; GROUP DECISION-MAKING; HERONIAN MEAN OPERATORS; CONSENSUS; MODEL;
D O I：
10.1002/int.22178
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
As a generalization of intuitionistic fuzzy sets and Pythagorean fuzzy sets, q-rung orthopair fuzzy sets provide decision makers more flexible space in expressing their opinions. Preference relations have received widespread acceptance as an efficient tool in representing decision makers' preference over alternatives in the decision-making process. In this paper, some new preference relations are investigated based on the q-rung orthopair fuzzy sets. First, a novel score function is presented for ranking q-rung orthopair fuzzy numbers. Second, q-rung orthopair fuzzy preference relation, consistent q-rung orthopair fuzzy preference relation, incomplete q-rung orthopair fuzzy preference relation, consistent incomplete q-rung orthopair fuzzy preference relation, and acceptable incomplete q-rung orthopair fuzzy preference relation are defined. In the end, based on the new score function and these preference relations, some algorithms are constructed for ranking and selection of the decision-making alternatives.
引用
收藏
页码：2920 / 2936
页数：17
相关论文
共 22 条
[1]   Another view on q-rung orthopair fuzzy sets [J].
Ali, Muhammad Irfan .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (11) :2139-2153
[2]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[3]   Some Partitioned Maclaurin Symmetric Mean Based on q-Rung Orthopair Fuzzy Information for Dealing with Multi-Attribute Group Decision Making [J].
Bai, Kaiyuan ;
Zhu, Xiaomin ;
Wang, Jun ;
Zhang, Runtong .
SYMMETRY-BASEL, 2018, 10 (09)
[4]   Group decision making using incomplete fuzzy preference relations based on the additive consistency and the order consistency [J].
Chen, Shyi-Ming ;
Lin, Tsung-En ;
Lee, Li-Wei .
INFORMATION SCIENCES, 2014, 259 :1-15
[5]   Minkowski-type distance measures for generalized orthopair fuzzy sets [J].
Du, Wen Sheng .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (04) :802-817
[6]   A model of consensus in group decision making under linguistic assessments [J].
Herrera, F ;
Herrera-Viedma, E ;
Verdegay, JL .
FUZZY SETS AND SYSTEMS, 1996, 78 (01) :73-87
[7]   A rational consensus model in group decision making using linguistic assessments [J].
Herrera, F ;
Herrera-Viedma, E ;
Verdegay, JL .
FUZZY SETS AND SYSTEMS, 1997, 88 (01) :31-49
[8]   A Novel Approach to Multi-Attribute Group Decision-Making with q-Rung Picture Linguistic Information [J].
Li, Li ;
Zhang, Runtong ;
Wang, Jun ;
Shang, Xiaopu ;
Bai, Kaiyuan .
SYMMETRY-BASEL, 2018, 10 (05)
[9]   Some q-Rung Orthopair Fuzzy Aggregation Operators and their Applications to Multiple-Attribute Decision Making [J].
Liu, Peide ;
Wang, Peng .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (02) :259-280
[10]   Some q-Rung Orthopai Fuzzy Bonferroni Mean Operators and Their Application to Multi-Attribute Group Decision Making [J].
Liu, Peide ;
Liu, Junlin .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2018, 33 (02) :315-347
123