A decision support model for group decision making with intuitionistic fuzzy linguistic preferences relations

Jin, Feifei; Ni, Zhiwei; Pei, Lidan; Chen, Huayou; Li, Yaping; Zhu, Xuhui; Ni, Liping

doi:10.1007/s00521-017-3071-z

Cited by 31 publications

(15 citation statements)

References 67 publications

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“…(5) Calculate the collective values of α i,j . e collective values of α i,j can be computed according to equation (53). Since the LIVIFWPMM operator in equation (42) has been leveraged in the third step, this operator (when adapting the operator, Q � (1, 2, 3, 4), i.e., there are interrelationships among the four attributes) is also used in this step to complete the calculation.…”

Section: Examplementioning

confidence: 99%

“…Because of such expressiveness, LIFSs have been applied to solve decision-making problems by a number of researchers. For example, Li et al [47] developed a set of new operational rules and entropy for LIFSs; Zhang et al [48] designed an extended outranking approach for decision-making problems with LIFSs; Liu et al [49], Garg and Kumar [50], Peng et al [51], and Teng and Liu [52] presented some AOs for LIFSs; Jin et al [53] established a decision support model for MAGDM with the preferences relations of LIFSs.…”

Section: Introductionmentioning

confidence: 99%

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Linguistic Interval-Valued Intuitionistic Fuzzy Archimedean Power Muirhead Mean Operators for Multiattribute Group Decision-Making

et al. 2020

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Two important tasks in multiattribute group decision-making (MAGDM) are to describe the attribute values and to generate a ranking of all alternatives. A superior tool for the first task is linguistic interval-valued intuitionistic fuzzy number (LIVIFN), and an effective tool for the second task is aggregation operator (AO). To date, nearly ten AOs of LIVIFNs have been presented. Each AO has its own features and can work well in its specific context. But there is not yet an AO of LIVIFNs that can offer desirable generality and flexibility in aggregating attribute values and capturing attribute interrelationships and concurrently reduce the influence of unreasonable attribute values. To this end, a linguistic interval-valued intuitionistic fuzzy Archimedean power Muirhead mean operator and its weighted form, which have such capabilities, are presented in this paper. Firstly, the generalised expressions of the AOs are established by a combination of the Muirhead mean operator and the power average operator under the Archimedean T-norm and T-conorm operations of LIVIFNs. Then the properties of the AOs are explored and proved, their specific expressions are constructed, and the special cases of the specific expressions are discussed. After that, a new method for solving the MAGDM problems based on LIVIFNs is designed on the basis of the weighted AO. Finally, the designed method is illustrated via a practical example, and the presented AOs are evaluated via experiments and comparisons.

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Section: Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Linguistic Interval-Valued Intuitionistic Fuzzy Archimedean Power Muirhead Mean Operators for Multiattribute Group Decision-Making

et al. 2020

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“…It is known that one of the necessary steps is to check the quality of preference evaluation information, in which consistency and its measurement play significant roles [23][24][25][26][27]. With the interesting consistency properties, Herrera-Viedma et al [28] designed an approach to construct consistent FPRs.…”

Section: Introductionmentioning

confidence: 99%

Interval Type-2 Trapezoidal Fuzzy Decision- Making Method With Consistency-Improving Algorithm and DEA Model

et al. 2020

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Interval type-2 fuzzy sets (IT2FSs) are useful and valuable tool to describe the decision makers' qualitative evaluation information. This paper designs a novel interval type-2 trapezoidal fuzzy decision-making (IT2TFDM) method, in which the local consistency adjustment strategy (LCAS) and interval type-2 fuzzy data envelopment analysis (DEA) are presented. First, in order to sufficiently describe the uncertain evaluation information, the definition of IT2TrFPRs is introduced, which is followed by the presentation of order consistency and multiplicative consistency for IT2TrFPRs. Then, an approach is proposed to check whether an IT2TrFPR is multiplicative consistent, and we construct a convergent consistency-improving algorithm, wherein the LCAS is utilized to retain the preference evaluation information of decision makers as much as possible. Furthermore, in order to determine the interval type-2 trapezoidal fuzzy priority weight vector, we investigate an interval type-2 trapezoidal fuzzy DEA model. An IT2TFDM method is proposed to obtain the reliable ranking of the alternatives. Finally, a fog-haze influence factor selection problem is given to show the practicality of the proposed IT2TFDM method, and the comparative analysis is carried out to clarify its validity and merits.

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“…Then, Xu [19] puts forward linguistic term set (LTS) and continuous linguistic term set (CLTS). Some extended LFSs are widely used in complex DMPs, such as: linguistic hesitation fuzzy set (L-HFS) [20], linguistic neutrosophic set (LNS) [21], linguistic intuitionistic fuzzy set (LIFS) [22], linguistic Pythagoras fuzzy set (LPFS) [23], and so on. In the development of LFSs, Chen [22] proposed to combine LTS and IFS, and put forward LIFS.…”

Section: Introductionmentioning

confidence: 99%

Multi-attribute Group Decision-making for Online Education Live Platform Selection Based on Linguistic Intuitionistic Cubic Fuzzy Aggregation Operators

Liu

et al. 2020

Preprint

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The purpose of this study is to propose a multi-attribute group decisionmaking (MAGDM) method for online education live platform selection based on proposed novel aggregation operators (AOs) under linguistic intuitionistic cubic fuzzy set (LICFS). Firstly, the Archimedean coupla and co-coupla are extended to handle linguistic intuitionistic cubic fuzzy information (LICFI) and the operational law of linguistic intuitionistic cubic fuzzy variables (LICFVs) based on extended copula (EC) and extended co-copula (ECC) are given. In addition, linguistic intuitionistic cubic fuzzy copula weighted average (LICFCWA) operator and linguistic intuitionistic cubic fuzzy copula weighted geometric (LICFCWG) operator are proposed based on EC and ECC under LICFI; Meanwhile, some special forms of LICFCWA/LICFCWG have been obtained by different types generators of ECs and ECCs. Thirdly, a novel MAGDM approach based on proposed LICFCWA/LICFCWG is constructed to solve the selection problem of the online education live platform in the period of the COVID-19, and a detailed parameter analysis was carried out. Fourthly, LICFS will degenerate into linguistic intuitionistic fuzzy set (LIFS) and intuitionistic cubic fuzzy set (ICFS), respectively, under different situations. Finally, some comparisons are carried out with other existing proposed MAGDM approaches. By comparing different types of experiments, the effectiveness and flexibility of the proposed approach are also showed.

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A decision support model for group decision making with intuitionistic fuzzy linguistic preferences relations

Cited by 31 publications

References 67 publications

Linguistic Interval-Valued Intuitionistic Fuzzy Archimedean Power Muirhead Mean Operators for Multiattribute Group Decision-Making

Linguistic Interval-Valued Intuitionistic Fuzzy Archimedean Power Muirhead Mean Operators for Multiattribute Group Decision-Making

Interval Type-2 Trapezoidal Fuzzy Decision- Making Method With Consistency-Improving Algorithm and DEA Model

Multi-attribute Group Decision-making for Online Education Live Platform Selection Based on Linguistic Intuitionistic Cubic Fuzzy Aggregation Operators

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