JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (3): 39-47.doi: 10.6040/j.issn.1671-9352.2.2022.2045

Previous Articles     Next Articles

Weighted hesitation fuzzy preference relation and its application in group decision making

FENG Xue1,2,3, GENG Sheng-ling1,3*, LI Yong-ming4   

  1. 1. College of Computer Science and Technology, Qinghai Normal University, Xining 810016, Qinghai, China;
    2. College of Mathematics and Statics, Qinghai Minzu University, Xining 810007, Qinghai, China;
    3. The Key State Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810008, Qinghai, China;
    4. College of Computer Science, Shaanxi Normal University, Xian 710069, Shaanxi, China
  • Published:2023-03-02

PDF (PC)

116

Abstract: Considering that the hesitant fuzzy preference relationship can more comprehensively represent the preference information of decision makers, by putting the hesitation fuzzy preference relationship in the sense of weight, the weighted hesitation fuzzy preference relation and multiplicative consistent weighted hesitation fuzzy preference relation are defined. At the same time, a convergent local consistency improvement process is designed to detect and improve the consistency level of weighted hesitant fuzzy preference relationship. It is more suitable to sovle the group decision-making problem, because the weighted hesitation fuzzy preference relation can fully reflect the preference information of decision makers and clearly reflect the importance of different preference degrees. Finally, a group decision-making is applied to the specific case, which shows that the proposed method is practical and feasible.

Key words: weighted hesitation fuzzy preference relation, multiplicative consistency, consistency index, determination condition, group decision-making

CLC Number: 

  • O159
[1] SAATY T L. Axiomatic foundation of the analytic hierarchy process[J]. Management Science, 1986, 32(7):841-855.
[2] BUSTINCE H, PAGOLA M, MESIAR R, et al. Grouping, overlap, and generalized bientropic functions for fuzzy modeling of pairwise comparisons[J]. IEEE Transactions on Fuzzy Systems, 2012, 20(3):405-415.
[3] ZADEH L A. Fuzzy sets[J]. Information and Control, 1965, 8(3):338-353.
[4] ORLOVSKY S A. Decision-making with a fuzzy preference relation[J]. Fuzzy Sets and Systems, 1978, 1(3):155-167.
[5] XU Zeshui. On compatibility of interval fuzzy preference relations[J]. Fuzzy Optimization and Decision Making, 2004, 3(3):217-225.
[6] XU Zeshui. Intuitionistic preference relations and their application in group decision making[J]. Information Sciences, 2007, 177(11):2363-2379.
[7] XIA Meimei, XU Zeshui. Hesitant fuzzy information aggregation in decision making[J]. International Journal of Approximate Reasoning, 2011, 52(3):395-407.
[8] XIA M M, XU Z S, CHEN N. Some hesitant fuzzy aggregation operators with their application in group decision making[J]. Group Decision and Negotiation, 2013, 22(2):259-279.
[9] ZHANG Zhinming, WANG Chao, TIAN Xuedong. A decision support model for group decision making with hesitant fuzzy preference relations[J]. Knowledge-Based Systems, 2015, 86:77-101.
[10] 曾文艺,李德清,尹乾. 加权犹豫模糊集的群决策方法[J]. 控制与决策, 2019, 34(3):529-533. ZENG Wenyi, LI Deqing, YI Qian. Group decision making method based on weighted hesitant fuzzy sets[J]. Control and Decision, 2019, 34(3):529-533.
[11] 邵亚斌,王宁. 基于梯形模糊数Pythagorean模糊集的熵及决策规则[J]. 山东大学学报(理学版), 2020, 55(4):108-117. SHAO Yabin, WANG Ning. Entropy and decision rules based on trapezoidal fuzzy number Pythagorean fuzzy sets[J]. Journal of Shandong University(Natural Science), 2020, 55(4):108-117.
[12] 张娇娇, 张少谱, 冯涛. 毕达哥拉斯模糊系统的优势关系及其约简[J]. 山东大学学报(理学版), 2021, 56(3):96-110. ZHANG Jiaojiao, ZHANG Shaopu, FENG Tao. Dominance relationship and reduction of Pythagorean fuzzy systems[J]. Journal of Shandong University(Natural Science), 2021, 56(3):96-110.
[13] 巩增泰,他广朋. 直觉模糊集所诱导的软集语义及其三支决策[J]. 山东大学学报(理学版), 2022, 57(8):68-76. GONG Zengtai, TA Guangpeng. Semantics of the soft set induced by intuitionistic fuzzy set and its three-way decision[J]. Journal of Shandong University(Natural Science), 2022, 57(8):68-76.
[14] 徐迎军.区间乘性偏好关系相容度分析[J].山东大学学报(理学版),2011,46(7):60-64. XU Yingjun. Analysis of compatibility of interval multiplicative preference relations[J]. Journal of Shandong University(Natural Science), 2011,46(7):60-64.
[15] TORRA V. Hesitant fuzzy sets[J]. International Journal of Intelligent Systems, 2010, 25(6):529-539.
[16] ZHU Bin, XU Zeshui, XIA Meimei. Hesitant fuzzy geometric Bonferroni means[J]. Information Sciences, 2012, 182(11):72-85.
[17] CHEN Na, XU Zeshui, XIA Meimei. Correlation coefficients of hesitant fuzzy sets and applications to clustering analysis[J]. Applied Mathematical Modelling, 2013, 37:2197-2211.
[18] LIAO Huchang, XU Zeshui, XIA Meimei. Multiplicative consistency of hesitant fuzzy preference relation and its application in group decision making[J]. Journal of Information Technology and Decision Making, 2014, 13(4):47-76.
[19] TANINO T. Fuzzy preference orderings in group decision making[J]. Fuzzy Sets and Systems, 1984, 12:117-131.
[1] GONG Zeng-tai, TA Guang-peng. Semantics of the soft set induced by intuitionistic fuzzy set and its three-way decision [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(8): 68-76.
[2] SU Xiao-yan, CHEN Jing-rong, YIN Hui-ling. Generalized interval-valued Pythagorean triangular fuzzy aggregation operator and application in decision making [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(8): 77-87.
[3] HAO Xiu-mei, LIU Ji-qin. Cut sets of outer P-fuzzy sets and extended rough sets models [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(10): 1-6.
[4] Xiu-mei HAO,Ning-ning LI. Quantitative characteristics and applications of P-information hidden mining [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(9): 9-14.
[5] SUN Qian-qian, LI Xiao-nan. Information measures of interval valued Pythagorean fuzzy sets and their applications [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(9): 43-53.
[6] ZHANG Ting-hai, QIN Feng. Distributivity of fuzzy implications over additively generated overlap and grouping functions [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(9): 36-42.
[7] CHENG Ya-fei, ZHAO Bin. Characterization of fuzzy implications satisfying the law of importation with respect to conjunctive 2-uninorms [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(8): 20-32.
[8] YU Xiao-dan, DONG Li, WU Cong, KONG Xiang-zhi. Soft incidence ring [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(4): 31-35.
[9] LIU Li-jun. Characterizations and properties of triple-δ-derivation in Boolean algebra [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(11): 95-99.
[10] . Application of fuzzy differential transform method for solving fuzzy integral differential equation [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(10): 42-49.
[11] LIU Li-jun. Characterizations of n-fold positive implicative filter in residuated lattice [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(8): 48-52.
[12] PENG Jia-yin. Disturbing fuzzy ideals of BL-algebras [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(10): 78-94.
[13] LU Wei, SONG Xiao-qiu, HUANG Lei-lei. Inequalities of Hermite-Hadamard and Sandaor for fuzzy integral [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(8): 22-28.
[14] PENG Jia-yin. [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 119-126.
[15] PENG Jia-yin. Soft filters of pseudo-BL algebras related to fuzzy set theory [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(08): 40-45.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
No Suggested Reading articles found!
Copyright 2018 © Editorial office of JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE)
Supported by Beijing Magtech Co.Ltd