Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making

Mehmood, Faisal; Mahmood, Tahir; Khan, Qaisar

doi:10.20454/ijas.2016.1055

Cited by 71 publications

(32 citation statements)

References 23 publications

(16 reference statements)

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“…This theory made it possible to deal with uncertainty problems. Cubic set theory also explains the satisfied, unsatisfied, and unpredictable information, which were not explained by FS theory and IFS theory (Mahmood et al 2016;Fahmi et al 2017Fahmi et al , 2018aKaur and Garg 2019;Riaz and Tehrim 2019;Fahmi et al 2019). Cubic set has more desirable information than FS and IFS (Kaur and Garg 2018a;Kaur and Garg 2018b).…”

Section: Introductionmentioning

confidence: 99%

A novel approach of linguistic intuitionistic cubic hesitant variables and their application in decision making

2020

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In this paper, we proposed the notion of linguistic intuitionistic cubic hesitant variables and defined some aggregation operators to deal with uncertainties in the form of linguistic intuitionistic cubic hesitant variables (LICHVs). LICHVs operators have more flexibility due to the general fuzzy set. We developed a series of aggregation operators, namely linguistic intuitionistic cubic hesitant variable averaging and linguistic intuitionistic cubic hesitant variable geometric aggregation operators. The distinguished feature of the developed operators is discussed. At that point, we used the developed operators to design a model to solve multi-criteria decision making issues with linguistic intuitionistic cubic hesitant variables. Further, the proposed method applied to explosion incident occurred in a chemical factory. We also proved that our developed model is practical and gives the decision makers more mathematical insight during the decision making on their options. Finally, a systematic comparison is conducted with other existent methods to show the advantage of our developed method.

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Section: Introductionmentioning

confidence: 99%

A novel approach of linguistic intuitionistic cubic hesitant variables and their application in decision making

2020

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“…Numerous MCGDM problems (like, medical diagnosis, strategic financial management, business, etc) have been created with the utilization of aggregation operators 9‐19 . On the basis of cubic fuzzy aggregation operators, various researchers have carried out remarkable work 20‐33 . Being an interesting research subject, aggregation of information by operators is receiving extraordinary consideration from the researchers by the use of Hamacher operations (HO).…”

Section: Introductionmentioning

confidence: 99%

New multicriteria group decision support systems for small hydropower plant locations selection based on intuitionistic cubic fuzzy aggregation information

2020

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There has been a quick development in construction activities during the last couple of decades attributable to a general improvement in all features of humankind. Because of innovative progressions and regularly expanding human progress, there is a diligent requirement of power. Close by the ordinary energy sources, renewable energy sources have likewise lead significantly to the rising power requirement. All over the world in the past, a number of small hydropower plants (SHPPs) have been developed, as a renewable energy source. Generally, these SHPPs are being manufactured and worked by the private designers consenting to the administration rules. So as to help a designer in choosing the most productive and doable SHPP for development and consequent activity, the concept of the intuitionistic cubic fuzzy set (ICFS) theory is established and a few important operations for ICFSs are characterized, and also a strategy dependent on intuitionistic cubic fuzzy Hamacher hybrid averaging (ICFHHA) operator, intuitionistic cubic fuzzy Hamacher order weighted averaging (ICFHOWA) operator, and intuitionistic cubic fuzzy Hamacher weighted averaging (ICFHWA) operators is utilized in the present paper. The financial criteria and technobusiness, as assumed for examining the practicality of the candidate SHPPs, are presented qualitatively utilizing intuitionistic cubic fuzzy numbers (ICFNs). Further study their fundamental properties and the relationship among these aggregation operators. Developed group decision‐making (DM) algorithm under intuitionistic cubic fuzzy (ICF) environment. An interpretative case for the analysis of SHPP for construction is given to demonstrate the feasibility and practicality of the mentioned new techniques. Further validate its effectiveness and benefits via a comparative analysis with pre‐existing aggregation operators, and the outcomes demonstrate that the proposed SHPP determination model has some special favorable circumstances, which is progressively practical and adaptable for SHPP choice under a complex and uncertain environment.

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“…Cubic fuzzy set (CFS) has more desirable information than FS and IFS [34] [35] [36]. Some researchers have made many contributions to the research of CFS: Mahmood et al [37] extended CFS to the cubic hesitation fuzzy Set, Fahmi et al [28] [29] [38] extended CFS to the cubic linguistic hesitation fuzzy set, and so on. Subsequently, some AOs based on CFS are proposed and applied in practice [27] [30] [31] [32] [33].…”

Section: Introductionmentioning

confidence: 99%

Multi-attribute Group Decision-making for Online Education Live Platform Selection Based on Linguistic Intuitionistic Cubic Fuzzy Aggregation Operators

Liu

et al. 2020

Preprint

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The purpose of this study is to propose a multi-attribute group decisionmaking (MAGDM) method for online education live platform selection based on proposed novel aggregation operators (AOs) under linguistic intuitionistic cubic fuzzy set (LICFS). Firstly, the Archimedean coupla and co-coupla are extended to handle linguistic intuitionistic cubic fuzzy information (LICFI) and the operational law of linguistic intuitionistic cubic fuzzy variables (LICFVs) based on extended copula (EC) and extended co-copula (ECC) are given. In addition, linguistic intuitionistic cubic fuzzy copula weighted average (LICFCWA) operator and linguistic intuitionistic cubic fuzzy copula weighted geometric (LICFCWG) operator are proposed based on EC and ECC under LICFI; Meanwhile, some special forms of LICFCWA/LICFCWG have been obtained by different types generators of ECs and ECCs. Thirdly, a novel MAGDM approach based on proposed LICFCWA/LICFCWG is constructed to solve the selection problem of the online education live platform in the period of the COVID-19, and a detailed parameter analysis was carried out. Fourthly, LICFS will degenerate into linguistic intuitionistic fuzzy set (LIFS) and intuitionistic cubic fuzzy set (ICFS), respectively, under different situations. Finally, some comparisons are carried out with other existing proposed MAGDM approaches. By comparing different types of experiments, the effectiveness and flexibility of the proposed approach are also showed.

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Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making

Cited by 71 publications

References 23 publications

A novel approach of linguistic intuitionistic cubic hesitant variables and their application in decision making

A novel approach of linguistic intuitionistic cubic hesitant variables and their application in decision making

New multicriteria group decision support systems for small hydropower plant locations selection based on intuitionistic cubic fuzzy aggregation information

Multi-attribute Group Decision-making for Online Education Live Platform Selection Based on Linguistic Intuitionistic Cubic Fuzzy Aggregation Operators

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