FLM-TOPSIS: The fuzzy linguistic multiset TOPSIS method and its application in linguistic decision making

Pei, Zheng; Liu, Jing; Hao, Fei; Zhou, Bin

doi:10.1016/j.inffus.2018.01.013

Cited by 55 publications

(26 citation statements)

References 55 publications

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“…Since it was reported in 1965, FS has attracted a large number of researchers and attained investigation achievements in various aspects. [7][8][9][10][11] Nonetheless, one of the deficiencies of FS is that the range of FS is limited to [0, 1], which will lead to the situation of information loss for expressing evaluation information. Therefore, Ramot et al 12 originally introduced the complex fuzzy set (CFS) through expanding the membership grade (MG) from real value to complex value within the unit disc.…”

Section: Introductionmentioning

confidence: 99%

Complex q‐rung orthopair fuzzy 2‐tuple linguistic Maclaurin symmetric mean operators and its application to emergency program selection

2020

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This essay designs an innovate approach to work out linguistic multiattribute group decision‐making (MAGDM) issues with complex q‐rung orthopair fuzzy 2‐tuple linguistic (Cq‐ROF2TL) evaluation information. To begin with, the conception of Cq‐ROF2TL set is propounded to express uncertain and fuzzy assessment information. Meanwhile, the score and accuracy function, a comparison approach, Cq‐ROF2TL weighted averaging, and Cq‐ROF2TL weighted geometric operator are put forward. Furthermore, to take into consideration the correlation among multiple input data, the Cq‐ROF2TL Maclaurin symmetric mean (MSM) operator, the Cq‐ROF2TL dual MSM operator and their weighted forms are presented. Several attractive characteristics and particular instances of the developed operators are also explored at length. Later, an innovative MAGDM methodology is designed based upon the propounded operators to settle the emergency program evaluation issue under the Cq‐ROF2TL circumstance. Consequently, the efficiency and outstanding superiority of the created approach are severally substantiated by parameter exploration and detailed comparative analysis.

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Section: Introductionmentioning

confidence: 99%

Complex q‐rung orthopair fuzzy 2‐tuple linguistic Maclaurin symmetric mean operators and its application to emergency program selection

2020

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“…Multi-attribute group decision-making is an important component of modern decision making (DM) science, which has been widely considered by multitudinous scholars and has achieved rich research achievements [1][2][3][4][5][6]. Due to the uncertainty and complexity of DM environments, it is arduous to portray the evaluation value of alternatives by precise numerical value.…”

Section: Introductionmentioning

confidence: 99%

“…Since its introduction, increasingly investigators have paid their attention to research on PFS and have obtained many achievements. These achievements are summarized as follows: (1) The foundation theories such as operational laws [26,27], score function [28,29], information entropy measure [30][31][32], distance measure and similarity measure [33][34][35][36][37], and so forth; (2) The DM methodologies on PFS?Peng and Yang [38] proposed the MABAC approach combined with Choquet integral to resolve the MAGDM problem with Pythagorean fuzzy information. Liang et al [39] propounded a novel approach by synthesizing the three-way decision theory and TOPSIS ideal solutions under a Pythagorean fuzzy environment.…”

Section: Introductionmentioning

confidence: 99%

Linguistic Pythagorean Einstein Operators and Their Application to Decision Making

2020

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Linguistic Pythagorean fuzzy (LPF) set is an efficacious technique to comprehensively represent uncertain assessment information by combining the Pythagorean fuzzy numbers and linguistic variables. In this paper, we define several novel essential operations of LPF numbers based upon Einstein operations and discuss several relations between these operations. For solving the LPF numbers fusion problem, several LPF aggregation operators, including LPF Einstein weighted averaging (LPFEWA) operator, LPF Einstein weighted geometric (LPFEWG) operator and LPF Einstein hybrid operator, are propounded; the prominent characteristics of these operators are investigated as well. Furthermore, a multi-attribute group decision making (MAGDM) approach is presented on the basis of the developed operators under an LPF environment. Ultimately, two application cases are utilized to demonstrate the practicality and feasibility of the developed decision approach and the comparison analysis is provided to manifest the merits of it.

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“…Multiple attribute group decision-making (MAGDM) is a significant constituent of modern decision science domains, the essence of which is to select the optimal alternatives on the basis of the assessment information obtained from a group of experts in terms of several given attributes. MAGDM problems are ubiquitous in various aspects of human life and have been paid a growing amount of attention by many scholars and fruitful research achievements have been made in this area [1][2][3][4][5][6][7][8]. As a result of the vagueness and uncertainty of DM settings and the difference of diverse experts' knowledge levels, how to accurately represent the attribute assessment information in vague and nondeterminate environments is one of the most arduous challenges in the course of DM.…”

Section: Introductionmentioning

confidence: 99%

Novel Multiple Attribute Group Decision-Making Methods Based on Linguistic Intuitionistic Fuzzy Information

2020

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As an effective technique to qualitatively depict assessment information, a linguistic intuitionistic fuzzy number (LIFN) is more appropriate to portray vagueness and indeterminacy in actual situations than intuitionistic fuzzy number (IFN). The prominent feature of a Muirhead mean (MM) operator is that it has the powerful ability to capture the correlations between any input-data and MM operator covers other common operators by assigning the different parameter vectors. In the article, we first analyze the limitations of the existing ranking approaches of LIFN and propose a novel ranking approach to surmount these limitations. Secondly, we propound several novel MM operators to fuse linguistic intuitionistic fuzzy (LIF) information, such as the LIF Muirhead mean (LIFMM) operator, the weighted LIF Muirhead mean (WLIFMM) operator and their dual operators, the LIFDMM operator and the WLIFDMM operator. Subsequently, we discuss several desirable properties along with exceptional cases of them. Moreover, two novel multiple attribute group decision-making approaches are developed based upon these operators. Ultimately, the effectuality and practicability of the propounded methods are validated through dealing with a global supplier selection issue, and the comparative analysis and the merits of the presented approaches are demonstrated by comparing them with existing approaches.

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FLM-TOPSIS: The fuzzy linguistic multiset TOPSIS method and its application in linguistic decision making

Cited by 55 publications

References 55 publications

Complex q‐rung orthopair fuzzy 2‐tuple linguistic Maclaurin symmetric mean operators and its application to emergency program selection

Complex q‐rung orthopair fuzzy 2‐tuple linguistic Maclaurin symmetric mean operators and its application to emergency program selection

Linguistic Pythagorean Einstein Operators and Their Application to Decision Making

Novel Multiple Attribute Group Decision-Making Methods Based on Linguistic Intuitionistic Fuzzy Information

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