Multiattribute decision making based on power operators for linguistic intuitionistic fuzzy set using set pair analysis

Garg, Harish; Kumar, Kamal

doi:10.1111/exsy.12428

Cited by 22 publications

(9 citation statements)

References 62 publications

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“…Based on its advantages, it is concluded that the presented theory can model the uncertainties with more enhancements as compared to the primitive environments. In the future, we shall lengthen the application of the proposed measure to the diverse fuzzy environment such as Pythagorean set [54][55][56], linguistic environment [57][58][59], as well as different fields of application such as supply chain management, emerging decision problems, risk evaluation, etc. [60][61][62][63] .…”

Section: Resultsmentioning

confidence: 99%

Novel Exponential divergence measure of complex intuitionistic fuzzy sets with an application to decision-making process

Garg

Rani

2019

Scientia Iranica

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As a generalization of the intuitionistic fuzzy sets (IFSs), complex IFSs (CIFSs) is a powerful and worthy tool to realize the imprecise information by using complex-valued membership degrees with an extra term, named as phase term. Divergence measure is a valuable tool to determine the degree of discrimination between the two sets. Driven by these fundamental characteristics, it is fascinating to manifest some divergence measures to the CIFSs. In this paper, we explain a method to solve the multi-criteria decision-making (MCDM) problem under CIFS environment. For it, firstly, the divergence measures are introduced between two CIFSs and examined their several properties and relations. Secondly, a novel algorithm is given based on the proposed measures to solve the problems in which weights corresponding to criteria are resolved using maximizing deviation method. Thirdly, a reasonable example is provided to verify the developed approach and to exhibit its practicality and utility with a comparative analysis to show its more manageable and adaptable nature.

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Section: Resultsmentioning

confidence: 99%

Novel Exponential divergence measure of complex intuitionistic fuzzy sets with an application to decision-making process

Garg

Rani

2019

Scientia Iranica

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“…HFSs developed with linguistic expressions allow decision makers to make their evaluations with a wide set of linguistic expressions. Thus, HFLTS provides an opportunity to be used in various scientific fields with different approaches [26,[28][29][30].…”

Section: Hesitant Fuzzy Sets and Linguistic Termsmentioning

confidence: 99%

Solar energy plant project selection with AHP decision-making method based on hesitant fuzzy linguistic evaluation

Çoban

2020

Complex Intell. Syst.

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Increased energy demand is expected to be met by reliable and continuous energy sources. Renewable energy which is obtained from nature and can continuously reload itself from natural sources is a new generation energy type. The sun, which is the main source of renewable energies and produces heat and electricity by direct and indirect methods, is an important renewable energy source. The installation of solar energy systems takes place under the basic technical, economic and political factors. Alternative solar energy plant projects are evaluated linguistically under the main criteria based on the knowledge and experience of the experts. Hesitant fuzzy linguistic terms are used to incorporate the uncertain and hesitant expressions into the decision-making process. The decision-making process that takes place with hesitant linguistic expressions in multiple sub-criteria is based on the AHP model. The inclusion of hesitant statements in the decision-making process with the AHP model enables more realistic choices among the alternatives. System technology (0.18), energy policy (0.15) and energy price change (0.13) appear as the most important factors in the pairwise comparison of the factors based on hesitant fuzzy linguistic evaluations. The results coincide with the need for high efficiency in solar energy systems, the importance of governmental supportive policies and the effects of price competition in the energy sector. Also, the closeness of the overall priority values of all projects (0.189, 0.23, 0.287, 0.135, 0.158) indicates that the decision makers take into account the effective factors.

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“…Liu and You [30] continued to study AOs for LIFNs based on Einstein t-norm and t-conorm. Garg and Kumar [31] investigated novel LIF power AOs based on set pair analysis. These aforementioned MAGDM methods reveal the powerfulness and capability of LIFSs in dealing with practical MAGDM problems; however, LIFSs still have drawbacks when expressing DMs' evaluation values.…”

Section: Introductionmentioning

confidence: 99%

Multiple attribute group decision-making based on cubic linguistic Pythagorean fuzzy sets and power Hamy mean

Shang

Wang

2021

Complex Intell. Syst.

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The linguistic Pythagorean fuzzy sets (LPFSs), which employ linguistic terms to express membership and non-membership degrees, can effectively deal with decision makers’ complicated evaluation values in the process of multiple attribute group decision-making (MAGDM). To improve the ability of LPFSs in depicting fuzzy information, this paper generalized LPFSs to cubic LPFSs (CLPFSs) and studied CLPFSs-based MAGDM method. First, the definition, operational rules, comparison method and distance measure of CLPFSs are investigated. The CLPFSs fully adsorb the advantages of LPFSs and cubic fuzzy sets and hence they are suitable and flexible to depict attribute values in fuzzy and complicated decision-making environments. Second, based on the extension of power Hamy mean operator in CLPFSs, the cubic linguistic Pythagorean fuzzy power average operator, the cubic linguistic Pythagorean fuzzy power Hamy mean operator as well as their weighted forms were introduced. These aggregation operators can effectively and comprehensively aggregate attribute values in MAGDM problems. Besides, some important properties of these operators were studied. Finally, we presented a new MAGDM method based on CLPFSs and their aggregation operators. Illustrative examples and comparative analysis are provided to show the effectiveness and advantages of our proposed decision-making method.

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Multiattribute decision making based on power operators for linguistic intuitionistic fuzzy set using set pair analysis

Cited by 22 publications

References 62 publications

Novel Exponential divergence measure of complex intuitionistic fuzzy sets with an application to decision-making process

Novel Exponential divergence measure of complex intuitionistic fuzzy sets with an application to decision-making process

Solar energy plant project selection with AHP decision-making method based on hesitant fuzzy linguistic evaluation

Multiple attribute group decision-making based on cubic linguistic Pythagorean fuzzy sets and power Hamy mean

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