Linguistic Picture Fuzzy Dombi Aggregation Operators and Their Application in Multiple Attribute Group Decision Making Problem

Qiyas, Muhammad; Abdullah, Saleem; Ashraf, Shahzaib; Abdullah, Lazim

doi:10.3390/math7080764

Cited by 29 publications

(16 citation statements)

References 38 publications

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“…Linguistic modelling [6,7,9,10] has had a clear impact over Group Decision Making methods over the years. Its main purpose is to allow experts to communicate using words instead of numbers.…”

Section: Group Decision Making and Linguistic Modellingmentioning

confidence: 99%

Assisting Users in Decisions Using Fuzzy Ontologies: Application in the Wine Market

et al. 2020

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Nowadays, wine has become a very popular item to purchase. There are a lot of brands and a lot of different types of wines that have different prices and characteristics. Since there is a lot of options, it is easy for buyers to feel lost among the high number of possibilities. Therefore, there is a need for computational tools that help buyers to decide which is the wine that better fits their necessities. In this article, a decision support system built over a fuzzy ontology has been designed for helping people to select a wine. Two different possible architecture implementation designs are presented. Furthermore, imprecise information is used to design a comfortable way of providing information to the system. Users can use this comfortable communication system to express their preferences and provide their opinion about the selected products. Moreover, mechanisms to carry out a constant update of the fuzzy ontology are exposed.

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Section: Group Decision Making and Linguistic Modellingmentioning

confidence: 99%

Assisting Users in Decisions Using Fuzzy Ontologies: Application in the Wine Market

et al. 2020

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“…, presented PF aggregation based on Einstein operation. Qiyas et al (2019), presented linguistic PF Dombi aggregation operators. Cuong and Kreinovich (2013) defined some operations and defined some picture fuzzy logic operators for fuzzy derivation forms.…”

Section: Introductionmentioning

confidence: 99%

Multi-attribute group decision making based on sine trigonometric spherical fuzzy aggregation operators

et al. 2021

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Spherical fuzzy set (SFS) is also one of the fundamental concepts for address more uncertainties in decision problems than the existing structures of fuzzy sets, and thus its implementation was more substantial. The well-known sine trigonometric function maintains the periodicity and symmetry of the origin in nature and thus satisfies the expectations of the experts over the multi parameters. Taking this feature and the significance of the SFSs into the consideration, the main objective of the article is to describe some reliable sine trigonometric laws for SFSs. Associated with these laws, we develop new average and geometric aggregation operators to aggregate the Spherical fuzzy numbers. Then, we presented a group decision-making strategy to address the multi-attribute group decision-making problem using the developed aggregation operators. To verify the value of the defined operators, a MAGDM strategy is provided along with an application for the selection of an authentic COVID-19 laboratory. Moreover, a comparative study is also performed to present the effectiveness of the developed approach.

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“…To overcome this business, Cuong [19] implemented a novel concept of picture fuzzy set (PFS), dignifying the positive, neutral and negative membership grades with the condition that sum of its membership grades be less or equal to 1. Since then, researches on PFSs have emerged in large numbers, like decision-making techniques under picture fuzzy information are discussed in [20][21][22][23][24][25][26][27]. However, in some uncertain environments, the sum of positive, neutral and negative membership grades may be greater than 1, which is not suitable for PFS.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy Decision Support Modeling for Hydrogen Power Plant Selection Based on Single Valued Neutrosophic Sine Trigonometric Aggregation Operators

et al. 2020

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In recent decades, there has been a massive growth towards the prime interest of the hydrogen energy industry in automobile transportation fuel. Hydrogen is the most plentiful component and a perfect carrier of energy. Generally, evaluating a suitable hydrogen power plant site is a complex selection of multi-criteria decision-making (MCDM) problem concerning proper location assessment based on numerous essential criteria, the decision-makers expert opinion, and other qualitative/quantitative aspects. This paper presents the novel single-valued neutrosophic (SVN) multi-attribute decision-making method to help decision-makers choose the optimal hydrogen power plant site. At first, novel operating laws based on sine trigonometric function for single-valued neutrosophic sets (SVNSs) are introduced. The well-known sine trigonometry function preserves the periodicity and symmetric in nature about the origin, and therefore it satisfies the decision-maker preferences over the multi-time phase parameters. In conjunction with these properties and laws, we define several new aggregation operators (AOs), called SVN weighted averaging and geometric operators, to aggregate SVNSs. Subsequently, on the basis of the proposed AOs, we introduce decision-making technique for addressing multi-attribute decision-making (MADM) problems and provide a numerical illustration of the hydrogen power plant selection problem for validation. A detailed comparative analysis, including a sensitivity analysis, was carried out to improve the understanding and clarity of the proposed methodologies in view of the existing literature on MADM problems.

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Linguistic Picture Fuzzy Dombi Aggregation Operators and Their Application in Multiple Attribute Group Decision Making Problem

Cited by 29 publications

References 38 publications

Assisting Users in Decisions Using Fuzzy Ontologies: Application in the Wine Market

Assisting Users in Decisions Using Fuzzy Ontologies: Application in the Wine Market

Multi-attribute group decision making based on sine trigonometric spherical fuzzy aggregation operators

Fuzzy Decision Support Modeling for Hydrogen Power Plant Selection Based on Single Valued Neutrosophic Sine Trigonometric Aggregation Operators

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