Multi-attribute decision making method based on generalized maclaurin symmetric mean aggregation operators for probabilistic linguistic information

Interval-valued T-spherical fuzzy set (IVTSFS) handles uncertain and vague information by discussing their membership degree (MD), abstinence degree (AD), non-membership degree (NMD), and refusal degree (RD). MD, AD, NMD, and RD are defined in terms of closed subintervals of that reduce information loss compared to the T-spherical fuzzy set (TSFS), which takes crisp values from intervals; hence, some information may be lost. The purpose of this manuscript is to develop some Hamacher aggregation operators (HAOs) in the environment of IVTSFSs. To do so, some Hamacher operational laws based on Hamacher t-norms (HTNs) and Hamacher t-conorms (HTCNs) are introduced. Using Hamacher operational laws, we develop some aggregation operators (AOs), including an interval-valued T-spherical fuzzy Hamacher (IVTSFH) weighted averaging (IVTSFHWA) operator, an IVTSFH-ordered weighted averaging (IVTSFHOWA) operator, an IVTSFH hybrid averaging (IVTSFHHA) operator, an IVTSFH-weighted geometric (IVTSFHWG) operator, an IVTSFH-ordered weighted geometric (IVTSFHOWG) operator, and an IVTSFH hybrid geometric (IVTSFHHG) operator. The validation of the newly developed HAOs is investigated, and their basic properties are examined. In view of some restrictions, the generalization and proposed HAOs are shown, and a multi-attribute decision-making (MADM) procedure is explored based on the HAOs, which are further exemplified. Finally, a comparative analysis of the proposed work is also discussed with previous literature to show the superiority of our work.

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METHODS FOR PROBABILISTIC DECISION MAKING WITH LINGUISTIC INFORMATION

Technological and Economic Development of Economy ◽

10.3846/20294913.2014.869515 ◽

2014 ◽

Vol 20 (2) ◽

pp. 193-209 ◽

Cited By ~ 18

Author(s):

Guiwu Wei ◽

Xiaofei Zhao

Keyword(s):

Decision Making ◽

Weighted Average ◽

Aggregation Operators ◽

Uncertain Information ◽

Owa Operator ◽

Linguistic Information ◽

Probabilistic Information ◽

Ordered Weighted Average ◽

Linguistic Labels ◽

Selection Of

With respect to decision making problems by using probabilities, immediate probabilities and information that can be represented with linguistic labels, some new decision analysis are proposed. Firstly, we shall develop three new aggregation operators: generalized probabilistic 2-tuple weighted average (GP-2TWA) operator, generalized probabilistic 2-tuple ordered weighted average (GP-2TOWA) operator and generalized immediate probabilistic 2-tuple ordered weighted average (GIP-2TOWA) operator. These operators use the weighted average (WA) operator, the ordered weighted average (OWA) operator, linguistic information, probabilistic information and immediate probabilistic information. They are quite useful because they can assess the uncertain information within the problem by using both linguistic labels and the probabilistic information that considers the attitudinal character of the decision maker. In these approaches, alternative appraisal values are calculated by the aggregation of 2-tuple linguistic information. Thus, the ranking of alternative or selection of the most desirable alternative(s) is obtained by the comparison of 2-tuple linguistic information. Finally, we give an illustrative example about selection of strategies to verify the developed approach and to demonstrate its feasibility and practicality.

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A Multi-MOORA decision making method based on muirhead mean operators and complex spherical fuzzy uncertain linguistic setting

Journal of Intelligent & Fuzzy Systems ◽

10.3233/jifs-211455 ◽

2021 ◽

pp. 1-26

Author(s):

Fen Wang ◽

Zeeshan Ali ◽

Tahir Mahmood ◽

Shouzhen Zeng

Keyword(s):

Decision Making ◽

General Structure ◽

Aggregation Operators ◽

Ratio Analysis ◽

Multi Objective Optimization ◽

Linguistic Terms ◽

Modifiable Factors ◽

Multi Attribute Decision Making ◽

Multiplicative Form ◽

Actual Life

The Muirhead mean (MM) operators offer a flexible arrangement with its modifiable factors because of Muirhead’s general structure. On the other hand, MM aggregation operators perform a significant role in conveying the magnitude level of options and characteristics. In this manuscript, the complex spherical fuzzy uncertain linguistic set (CSFULS), covering the grade of truth, abstinence, falsity, and their uncertain linguistic terms is proposed to accomplish with awkward and intricate data in actual life dilemmas. Furthermore, by using the MM aggregation operators with the CSFULS, the complex spherical fuzzy uncertain linguistic MM (CSFULMM), complex spherical fuzzy uncertain linguistic weighted MM (CSFULWMM), complex spherical fuzzy uncertain linguistic dual MM (CSFULDMM), complex spherical fuzzy uncertain linguistic dual weighted MM (CSFULDWMM) operators, and their important results are also elaborated with the help of some remarkable cases. Additionally, multi-attribute decision-making (MADM) based on the Multi-MOORA (Multi-Objective Optimization Based on a Ratio Analysis plus full multiplicative form), and proposed operators are developed. To determine the rationality and reliability of the elaborated approach, some numerical examples are illustrated. Finally, the supremacy and comparative analysis of the elaborated approaches with the help of graphical expressions are also developed.

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Triangular Cubic Hesitant Fuzzy Einstein Hybrid Weighted Averaging Operator and Its Application to Decision Making

Symmetry ◽

10.3390/sym10110658 ◽

2018 ◽

Vol 10 (11) ◽

pp. 658 ◽

Cited By ~ 16

Author(s):

Aliya Fahmi ◽

Fazli Amin ◽

Florentin Smarandache ◽

Madad Khan ◽

Nasruddin Hassan

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Aggregation Operators ◽

Weighted Averaging ◽

Linguistic Information ◽

Ordered Weighted Averaging ◽

Averaging Operator ◽

Multiple Attribute ◽

The Relationship

In this paper, triangular cubic hesitant fuzzy Einstein weighted averaging (TCHFEWA) operator, triangular cubic hesitant fuzzy Einstein ordered weighted averaging (TCHFEOWA) operator and triangular cubic hesitant fuzzy Einstein hybrid weighted averaging (TCHFEHWA) operator are proposed. An approach to multiple attribute group decision making with linguistic information is developed based on the TCHFEWA and the TCHFEHWA operators. Furthermore, we establish various properties of these operators and derive the relationship between the proposed operators and the existing aggregation operators. Finally, a numerical example is provided to demonstrate the application of the established approach.

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New aggregation operators of single-valued neutrosophic hesitant fuzzy set and their application in multi-attribute decision making

Pattern Analysis and Applications ◽

10.1007/s10044-017-0635-6 ◽

2017 ◽

Vol 22 (2) ◽

pp. 417-427 ◽

Cited By ~ 12

Author(s):

Chun-fang Liu ◽

Yue-Sheng Luo

Keyword(s):

Decision Making ◽

Fuzzy Set ◽

Aggregation Operators ◽

Hesitant Fuzzy Set ◽

Multi Attribute Decision Making

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Some power Maclaurin symmetric mean aggregation operators based on Pythagorean fuzzy linguistic numbers and their application to group decision making

International Journal of Intelligent Systems ◽

10.1002/int.22005 ◽

2018 ◽

Vol 33 (9) ◽

pp. 1949-1985 ◽

Cited By ~ 26

Author(s):

Fei Teng ◽

Zhengmin Liu ◽

Peide Liu

Keyword(s):

Decision Making ◽

Group Decision Making ◽

Group Decision ◽

Aggregation Operators ◽

Maclaurin Symmetric Mean ◽

Fuzzy Linguistic

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Hybrid Weighted Arithmetic and Geometric Aggregation Operator of Neutrosophic Cubic Sets for MADM

Symmetry ◽

10.3390/sym11020278 ◽

2019 ◽

Vol 11 (2) ◽

pp. 278 ◽

Cited By ~ 2

Author(s):

Lilian Shi ◽

Yue Yuan

Keyword(s):

Decision Making ◽

Weighted Average ◽

Aggregation Operator ◽

Aggregation Operators ◽

Arithmetic Average ◽

Weighted Arithmetic ◽

Geometric Average ◽

Multi Attribute Decision Making

Neutrosophic cubic sets (NCSs) can express complex multi-attribute decision-making (MADM) problems with its interval and single-valued neutrosophic numbers simultaneously. The weighted arithmetic average (WAA) and geometric average (WGA) operators are common aggregation operators for handling MADM problems. However, the neutrosophic cubic weighted arithmetic average (NCWAA) and neutrosophic cubic geometric weighted average (NCWGA) operators may result in some unreasonable aggregated values in some cases. In order to overcome the drawbacks of the NCWAA and NCWGA, this paper developed a new neutrosophic cubic hybrid weighted arithmetic and geometric aggregation (NCHWAGA) operator and investigates its suitability and effectiveness. Then, we established a MADM method based on the NCHWAGA operator. Finally, a MADM problem with neutrosophic cubic information was provided to illustrate the application and effectiveness of the proposed method.

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