Evaluation of Investment Policy Based on Multi-Attribute Decision-Making Using Interval Valued T-Spherical Fuzzy Aggregation Operators

Ullah, Kifayat; Hassan, Nasruddin; Mahmood, Tahir; Jan, Naeem; Hassan, Mazlan

doi:10.3390/sym11030357

Cited by 105 publications

(51 citation statements)

References 68 publications

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“…In the future, we will evaluate some more aggregation operators (Ullah et al 2018a , 2020 ; Ghorabaee et al 2017 ; Shen and Wang 2018 ), similarity measures (Jana et al 2020a , b ; Liu et al 2020b ; Wang and Zhang 2012 ; Wang et al 2012 ; Zhang et al 2020b , c , d , e ; Zhan et al 2020a , b ; Jiang et al 2020 ), and different methods (He et al 2019 ; Garg et al 2020 ; Ali and Mahmood 2020a , b ; Jan et al 2020 ; Ali et al 2020 ; Mahmood et al 2019 ; Ullah et al 2018b , 2019b ; Quek et al 2019 ) solved by using the complex q-rung orthopair uncertain linguistic information.…”

Section: Resultsmentioning

confidence: 99%

Aggregation operators and VIKOR method based on complex q-rung orthopair uncertain linguistic informations and their applications in multi-attribute decision making

Mahmood

Ali

2020

Comp. Appl. Math.

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Complex q-rung orthopair uncertain linguistic set (CQROULS) is a combination of complex q-rung orthopair fuzzy set (CQROFS) and uncertain linguistic variable set (ULVS) as a proficient technique to express uncertain and awkward information in real decision theory. CQROULS contains uncertain linguistic variables, truth and falsity grades, which gives extensive freedom to decision makers for taking a decision as compared to CQROFS and their special cases. In this article, a new concept of fuzzy set, called CQROULS using CQROFS and ULVS is explored, and this can examine the qualitative assessment of decision makers and gives them extensive freedom in reflecting their belief about allowable truth grades. Based on the established operational laws and comparison methods for CQROULSs, the notions of complex q-rung orthopair uncertain linguistic weighted-averaging aggregation operator and complex q-rung orthopair uncertain linguistic weighted geometric aggregation operator are explored. Some special cases and the desirable properties of the explored operators are also established and studied. Additionally, the notion of VIseKriterijumska Optimizacija I KOmpromisno Resenje (VIKOR) method based on CQROULSs is explored, with the help of a numerical example, it is verified and also its comparative study is established. Moreover, based on the above analysis, we establish a method to solve the multi-attribute group decision making problems, in which the evaluation information is shown as CQROULNs. Finally, we solve some numerical examples using some decision making steps and explain the verity and proficiency of the explored operators by comparing with other methods, the advantages and graphical interpretation of the explored work are also discussed.

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Section: Resultsmentioning

confidence: 99%

Aggregation operators and VIKOR method based on complex q-rung orthopair uncertain linguistic informations and their applications in multi-attribute decision making

Mahmood

Ali

2020

Comp. Appl. Math.

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“…In future, some other tools of correlation coefficient and distance measure could also be developed. Further, to improve this work, such SMs can be defined in T-spherical fuzzy environments [45,46] and interval valued T-spherical fuzzy environment [47] where one has a variety of choices for the selection of membership, abstinence and non-membership grades.…”

Section: Resultsmentioning

confidence: 99%

Some Similarity Measures for Interval-Valued Picture Fuzzy Sets and Their Applications in Decision Making

et al. 2019

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Similarity measures, distance measures and entropy measures are some common tools considered to be applied to some interesting real-life phenomena including pattern recognition, decision making, medical diagnosis and clustering. Further, interval-valued picture fuzzy sets (IVPFSs) are effective and useful to describe the fuzzy information. Therefore, this manuscript aims to develop some similarity measures for IVPFSs due to the significance of describing the membership grades of picture fuzzy set in terms of intervals. Several types cosine similarity measures, cotangent similarity measures, set-theoretic and grey similarity measures, four types of dice similarity measures and generalized dice similarity measures are developed. All the developed similarity measures are validated, and their properties are demonstrated. Two well-known problems, including mineral field recognition problems and multi-attribute decision making problems, are solved using the newly developed similarity measures. The superiorities of developed similarity measures over the similarity measures of picture fuzzy sets, interval-valued intuitionistic fuzzy sets and intuitionistic fuzzy sets are demonstrated through a comparison and numerical examples.

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“…[6] developed some T-spherical fuzzy weighted geometric AOs and investigated their applications in MADM. Ullah et al [14] solved a financial policy evaluation problem using interval-valued T-spherical fuzzy AOs. Ullah et al [15] proposed some averaging AOs for T-SFSs and applied those operators to MADM problems.…”

Section: Fuzzy Structures Functions Limitations On Functionsmentioning

confidence: 99%

T-Spherical Fuzzy Einstein Hybrid Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems

et al. 2020

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T-spherical fuzzy set is a recently developed model that copes with imprecise and uncertain events of real-life with the help of four functions having no restrictions. This article’s aim is to define some improved algebraic operations for T-SFSs known as Einstein sum, Einstein product and Einstein scalar multiplication based on Einstein t-norms and t-conorms. Then some geometric and averaging aggregation operators have been established based on defined Einstein operations. The validity of the defined aggregation operators has been investigated thoroughly. The multi-attribute decision-making method is described in the environment of T-SFSs and is supported by a comprehensive numerical example using the proposed Einstein aggregation tools. As consequences of the defined aggregation operators, the same concept of Einstein aggregation operators has been proposed for q-rung orthopair fuzzy sets, spherical fuzzy sets, Pythagorean fuzzy sets, picture fuzzy sets, and intuitionistic fuzzy sets. To signify the importance of proposed operators, a comparative analysis of proposed and existing studies is developed, and the results are analyzed numerically. The advantages of the proposed study are demonstrated numerically over the existing literature with the help of examples.

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Evaluation of Investment Policy Based on Multi-Attribute Decision-Making Using Interval Valued T-Spherical Fuzzy Aggregation Operators

Cited by 105 publications

References 68 publications

Aggregation operators and VIKOR method based on complex q-rung orthopair uncertain linguistic informations and their applications in multi-attribute decision making

Aggregation operators and VIKOR method based on complex q-rung orthopair uncertain linguistic informations and their applications in multi-attribute decision making

Some Similarity Measures for Interval-Valued Picture Fuzzy Sets and Their Applications in Decision Making

T-Spherical Fuzzy Einstein Hybrid Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems

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