Uncertain multi-attribute group decision making based on linguistic-valued intuitionistic fuzzy preference relations

Abstract The preference relations have shown some advantages in handling multi-attribute group decision making problems, which can assist decision makers to set priorities and make a reasonable decision. In real-life situations, decision makers sometimes express their preference with fuzzy and uncertain linguistic information including positive and negative sides at the same time. In order to deal with the decision-making problems with uncertain linguistic information, we propose an approach for uncertain multi-attribute group decision making based on linguistic-valued intuitionistic fuzzy preference relations (LIFPR). The presented LIFPR based on linguistic truth-valued intuitionistic fuzzy lattice can better express positive and negative evaluation information in the meanwhile. To aggregate linguistic information and reduce information loss of aggregation process, we propose linguistic-valued intuitionistic fuzzy 2-tuple representation model (LIF 2-tuple) and two kinds of linguistic-valued intuitionistic fuzzy aggregation operators. To deal with incomparable LIF 2-tuples, we present positive and negative LIF 2-tuple reference nearness degrees according to preferences. For the inconsistent LIFPR caused by subjective uncertainty, a consistency checking algorithm based on linguistic-valued intuitionistic fuzzy similarity is introduced to check and repair the consistency of a LIFPR. For the incomplete LIFPR caused by objective uncertainty, an improved LIFPR based on additive transitivity is presented to complement the LIFPR. We discuss the procedure of group decision making based on LIFPR with positive and negative evaluation information. An illustrate example shows the proposed approach for group decision making seems more effective for decision making under an uncertain linguistic environment.

[1]  Jun Ye,et al.  Multiple attribute group decision making based on interval neutrosophic uncertain linguistic variables , 2017, Int. J. Mach. Learn. Cybern..

[2]  Huayou Chen,et al.  A fuzzy group decision making model with trapezoidal fuzzy preference relations based on compatibility measure and COWGA operator , 2017, Applied Intelligence.

[3]  Xin Wen,et al.  Linguistic truth-valued intuitionistic fuzzy reasoning with applications in human factors engineering , 2016, Inf. Sci..

[4]  Zhou-Jing Wang,et al.  A goal programming approach to deriving interval weights in analytic form from interval Fuzzy preference relations based on multiplicative consistency , 2018, Inf. Sci..

[5]  Xin Liu,et al.  A uniform approach of linguistic truth values in sensor evaluation , 2008, Fuzzy Optim. Decis. Mak..

[6]  Francisco Chiclana,et al.  Geo-uninorm consistency control module for preference similarity network hierarchical clustering based consensus model , 2018, Knowl. Based Syst..

[7]  Francisco Herrera,et al.  A 2-tuple fuzzy linguistic representation model for computing with words , 2000, IEEE Trans. Fuzzy Syst..

[8]  Witold Pedrycz,et al.  Intuitionistic Multiplicative Group Analytic Hierarchy Process and Its Use in Multicriteria Group Decision-Making , 2018, IEEE Transactions on Cybernetics.

[9]  Hui Zhao,et al.  A decision-making model based on interval additive reciprocal matrices with additive approximation-consistency , 2018, Inf. Sci..

[10]  Wen-Chyuan Hsin,et al.  Weighted Fuzzy Interpolative Reasoning Based on the Slopes of Fuzzy Sets and Particle Swarm Optimization Techniques , 2015, IEEE Transactions on Cybernetics.

[11]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[12]  Hong-yu Zhang,et al.  An FMCDM approach to purchasing decision-making based on cloud model and prospect theory in e-commerce , 2016, Int. J. Comput. Intell. Syst..

[13]  Zeshui Xu,et al.  Intuitionistic preference relations and their application in group decision making , 2007, Inf. Sci..

[14]  Shanlin Yang,et al.  Analysis of fuzzy Hamacher aggregation functions for uncertain multiple attribute decision making , 2017, Inf. Sci..

[15]  Cengiz Kahraman,et al.  Fuzzy Multicriteria Decision-Making: A Literature Review , 2015, Int. J. Comput. Intell. Syst..

[16]  Degang Chen,et al.  Generalized dominance rough set models for the dominance intuitionistic fuzzy information systems , 2017, Inf. Sci..

[17]  Luis Martínez-López,et al.  A Humble Tribute to 50 Years of Fuzzy Sets , 2016, Int. J. Comput. Intell. Syst..

[18]  Zeshui Xu,et al.  Intuitionistic Fuzzy Analytic Hierarchy Process , 2014, IEEE Transactions on Fuzzy Systems.

[19]  Xiaonan Li,et al.  (alpha, beta)-Ordered Linear Resolution of Intuitionistic Fuzzy Propositional Logic , 2015, 2015 10th International Conference on Intelligent Systems and Knowledge Engineering (ISKE).

[20]  Shyi-Ming Chen,et al.  Weighted fuzzy interpolated reasoning based on ranking values of polygonal fuzzy sets and new scale and move transformation techniques , 2018, Inf. Sci..

[21]  Shu-Ping Wan,et al.  Supplier selection using ANP and ELECTRE II in interval 2-tuple linguistic environment , 2017, Inf. Sci..

[22]  Jan Stoklasa,et al.  Set-theoretic methodology using fuzzy sets in rule extraction and validation - consistency and coverage revisited , 2017, Inf. Sci..

[23]  Zeshui Xu,et al.  Multi-Groups Decision Making using Intuitionistic-valued Hesitant Fuzzy Information , 2016, Int. J. Comput. Intell. Syst..

[24]  Degen Huang,et al.  A New Linguistic Aggregation Operator for Group Decision Making , 2012 .

[25]  Sébastien Destercke,et al.  A generic framework to include belief functions in preference handling and multi-criteria decision , 2018, Int. J. Approx. Reason..

[26]  He Tian,et al.  Adaptive Fuzzy Logic Energy Management Strategy Based on Reasonable SOC Reference Curve for Online Control of Plug-in Hybrid Electric City Bus , 2018, IEEE Transactions on Intelligent Transportation Systems.

[27]  Huimin Zhang.  Some interval-valued 2-tuple linguistic aggregation operators and application in multiattribute group decision making , 2013 .

[28]  Fanyong Meng,et al.  Linguistic intuitionistic fuzzy preference relations and their application to multi-criteria decision making , 2019, Inf. Fusion.

[29]  Hairong Dong,et al.  Single-parameter-learning-based fuzzy fault-tolerant output feedback dynamic surface control of constrained-input nonlinear systems , 2017, Inf. Sci..

[30]  Zhen Zhang,et al.  Additive consistency analysis and improvement for hesitant fuzzy preference relations , 2018, Expert Syst. Appl..

[31]  Zhen Ming Ma,et al.  Hyperbolic scales involving appetites-based intuitionistic multiplicative preference relations for group decision making , 2018, Inf. Sci..