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

2021 ◽  
pp. 1-26
Author(s):  
Fen Wang ◽  
Zeeshan Ali ◽  
Tahir Mahmood ◽  
Shouzhen Zeng

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.

2021 ◽  
Vol 6 (2) ◽  
pp. 149
Author(s):  
Sultan Chaeruddin ◽  
Icih Sukarsih ◽  
Respitawulan Respitawulan

AbstrakPandemi COVID-19 telah melanda hampir di seluruh dunia. Pandemi ini juga merupakan sebuah masa dimana masyarakat dituntut melaksanakan kebiasaan baru atau dikenal dengan New Normal. Kebiasaan baru ini juga mempengaruhi cara masyarakat dalam berbelanja khususnya berbelanja di marketplace. Dengan memilih marketplace yang tepat maka masyarakat atau konsumen dapat memenuhi kebutuhan seperti produk kesehatan dan rumah tangga yang paling dicari di masa pandemi. Metode Multi Objective Optimization on The Basis of Ratio Analysis atau MOORA adalah salah satu metode dari Multi Attribute Decision Making. Metode MOORA dapat digunakan untuk menentukan rekomendasi marketplace di masa pandemi COVID-19. Hasil yang diharapkan adalah diperoleh alternatif terbaik berdasarkan penilaian masyarakat dan perhitungan menggunakan metode MOORA sehingga dapat terlihat pula perilaku konsumen di masa pandemi dan menjadi masukkan bagi perusahaan marketplace di masa yang akan datang.Kata kunci - Pandemi COVID-19; Marketplace; MOORAThe COVID-19 pandemic has hit almost all over the world. This pandemic is also a period when people are required to carry out new habits, known as the New Normal. This new habit also affects the way people shop, especially shopping in the marketplace. By choosing the right marketplace, the community or consumers can meet needs such as health and household products that are most sought after during a pandemic. The Multi Objective Optimization method on The Basis of Ratio Analysis or MOORA is one of the methods of Multi Attribute Decision Making. The MOORA method can be used to determine marketplace recommendations during the COVID-19 pandemic. The expected result is that the best alternative is obtained based on community assessment and calculations using the MOORA method so that consumer behavior can also be seen during the pandemic and become input for marketplace companies in the future.


Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 145
Author(s):  
Yun Jin ◽  
Zareena Kousar ◽  
Kifayat Ullah ◽  
Tahir Mahmood ◽  
Nimet Yapici Pehlivan ◽  
...  

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.


Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 278 ◽  
Author(s):  
Lilian Shi ◽  
Yue Yuan

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.


2020 ◽  
Vol 39 (1) ◽  
pp. 1227-1241 ◽  
Author(s):  
Muhammad Riaz ◽  
Hafiz Muhammad Athar Farid ◽  
Faruk Karaaslan ◽  
Masooma Raza Hashmi

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 156600-156614 ◽  
Author(s):  
Muhammad Khalid Mahmood ◽  
Shouzhen Zeng ◽  
Muhammad Gulfam ◽  
Shahbaz Ali ◽  
Yun Jin

Information ◽  
2019 ◽  
Vol 10 (11) ◽  
pp. 339 ◽  
Author(s):  
Liu ◽  
Zhao ◽  
Li ◽  
Wang ◽  
Wang

. A double hierarchy hesitant fuzzy linguistic term set (DHHFLT) is deemed as an effective and powerful linguistic expression which models complex linguistic decision information more accurately by using two different hierarchy linguistic term sets. The purpose of this paper is to propose a multi-attribute decision making method to tackle complex decision issues in which attribute values are represented as double hierarchy hesitant fuzzy linguistic numbers, and there are some extreme or unreasonable data in the attribute values. To do this, firstly, four double hierarchy hesitant fuzzy linguistic generalized power aggregation operators are introduced, including the double hierarchy hesitant fuzzy linguistic generalized power average (DHHFLGPA) operator, the double hierarchy hesitant fuzzy linguistic generalized power geometric (DHHFLGPG) operator, and their weighted forms. Thereafter, several favorable properties, as well as representative cases of the proposed operators, are investigated in detail. Moreover, by virtue of the proposed operators, a novel approach is developed for coping with multi-attribute decision making cases in the double hierarchy hesitant fuzzy linguistic context. Finally, an illustrated example is given to demonstrate the practical application of the presented approach, an availability verification is given to show its validity, and a comparative analysis is also conducted to highlight the advantages of the proposed approach.


Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 608 ◽  
Author(s):  
Saifullah Khan ◽  
Saleem Abdullah ◽  
Lazim Abdullah ◽  
Shahzaib Ashraf

The objective of this study was to create a logarithmic decision-making approach to deal with uncertainty in the form of a picture fuzzy set. Firstly, we define the logarithmic picture fuzzy number and define the basic operations. As a generalization of the sets, the picture fuzzy set provides a more profitable method to express the uncertainties in the data to deal with decision making problems. Picture fuzzy aggregation operators have a vital role in fuzzy decision-making problems. In this study, we propose a series of logarithmic aggregation operators: logarithmic picture fuzzy weighted averaging/geometric and logarithmic picture fuzzy ordered weighted averaging/geometric aggregation operators and characterized their desirable properties. Finally, a novel algorithm technique was developed to solve multi-attribute decision making (MADM) problems with picture fuzzy information. To show the superiority and the validity of the proposed aggregation operations, we compared it with the existing method, and concluded from the comparison and sensitivity analysis that our proposed technique is more effective and reliable.


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