Another View on Generalized Intuitionistic Fuzzy Soft Sets and Related Multiattribute Decision Making Methods

Feng, Feng; Fujita, Hamido; Ali, Muhammad Irfan; Yager, Ronald R.; Liu, Xiaoyan

doi:10.1109/tfuzz.2018.2860967

Cited by 225 publications

(157 citation statements)

References 31 publications

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“…Arora and Garg 32 studied the average and geometric aggregation operators in IF S f S. Geng et al 33 presented the idea of generalized IF S f S and discussed their applications. Recently, Feng et al 34 clarified and reformulated the existing concepts of generalized IF S f S and studied their applications in MADM. Furthermore, they improved some existing concepts and results in the literature through these new notions.…”

Section: Introductionmentioning

confidence: 99%

q‐Rung orthopair fuzzy soft average aggregation operators and their application in multicriteria decision‐making

et al. 2020

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Molodtsov investigated the pioneer notion of soft set (SfS) which provides a general framework for mathematical problems by affix parameterization tools during the analysis as compared to fuzzy set and q‐rung orthopair fuzzy set (q‐ROFS). The aim of this manuscript is to investigate the notion of q‐rung orthopair fuzzy soft set (q‐ROFSfS), which provide a lay of foundation for those difficulties and complexities which the contemporary theories face during the study of uncertainty. Therefore, our main contribution in this manuscript is to investigate the q‐rung orthopair fuzzy soft weighted averaging, q‐rung orthopair fuzzy soft ordered weighted averaging and q‐rung orthopair fuzzy soft hybrid averaging operators in q‐ROF soft (q‐ROFSf) environment. Further, the fundamental properties of these aggregation operators are studied. On the base of developed approach an algorithm for multicriteria decision making method is being presented. An application of medical diagnosis problems is solved on the proposed algorithm under the q‐ROFSf environment. Finally, comparison between the developed operators with some existing operators are being presented showing the superiority and efficiency of the developed approach than the existing literature.

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Section: Introductionmentioning

confidence: 99%

q‐Rung orthopair fuzzy soft average aggregation operators and their application in multicriteria decision‐making

et al. 2020

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“…It has three functions to describe the degree of an element that belongs to an object set, such as membership function, nonmembership function, and hesitant function . In recent years, the research of IFS has deepened and it has been widely used in various fields because of its excellent performance . However, all the three functions are expressed by real numbers and this may result in failure in some complex situations .…”

Section: Introductionmentioning

confidence: 99%

“…[5][6][7] In recent years, the research of IFS has deepened and it has been widely used in various fields because of its excellent performance. [8][9][10] However, all the three functions are expressed by real numbers and this may result in failure in some complex situations. 11 Atanassov and Gargov 12 used the interval number to express the three functions and proposed the interval-valued intuitionistic fuzzy set (IVIFS).…”

Section: Introductionmentioning

confidence: 99%

Group decision making based on Dombi operators and its application to personnel evaluation

2019

Int J Intell Syst

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In the process of talent selection and evaluation, it is important to know the personality traits, ability, knowledge level, and development potential of the candidates. However, the above evaluation indicators are difficult to describe with precise values, and personnel evaluation often needs to be done through group decision making (GDM). In this paper, we establish a GDM method under the interval‐valued intuitionistic fuzzy (IVIF) environment based on Dombi aggregation operations, which are the extension of existing operations. First, IVIF operations are introduced. Second, a series of IVIF Dombi aggregation operators are proposed, such as IVIF Dombi weighted averaging operator, IVIF Dombi‐ordered weighted averaging (IIFDOWA) operator, IVIF Dombi geometric weighted geometric (IIFDWG) operator, and IVIF Dombi‐ordered weighted geometric (IIFDOWG). The desirable properties of these proposed aggregation operators are well studied. Finally, the GDM method based on these Dombi aggregation operators under the IVIF environment is presented; the case study about personnel evaluation based on the proposed method is presented to show its validity and rationality. The comparison with other methods is presented to show the difference and advantage of the GDM method proposed in this paper.

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“…Multicriteria decision‐making (MCDM) is an important part of modern decision‐making science, which is also widely used in many fields, such as supplier selection, medical diagnosis, sensor fusion, uncertainty modeling, risk analysis, reliability, and so forth . Many effective techniques have been used in solving MCDM problems, such as intuitionistic fuzzy sets, soft sets, evidence theory, evidential reasoning, D number, and Z number . With the development of information science, these problems have attracted many researchers …”

Section: Introductionmentioning

confidence: 99%

An interval‐valued exceedance method in MCDM with uncertain satisfactions

Liu

Xiao

2019

Int J Intell Syst

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Multicriteria decision‐making problems have been applied to many applications for its practicality. Nevertheless, when the evaluated satisfactions are more complex, such as interval‐valued distributions, how to reasonably obtain the aggregation results of alternatives is still an open issue. In this paper, an interval‐valued exceedance method is proposed to solve such a question based on the Golden Rule representative value and probabilistic exceedance method. Due to good performance of expressing uncertain information, the Golden Rule representative value method is used to order interval‐valued satisfactions after an effective normalization process. In addition, a quantifier‐based ordered weighted averaging operator is also introduced to consider the preferences of decision makers. A realistic application of supplier selection is shown to illustrate the practicality of the proposed method.

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Another View on Generalized Intuitionistic Fuzzy Soft Sets and Related Multiattribute Decision Making Methods

Cited by 225 publications

References 31 publications

q‐Rung orthopair fuzzy soft average aggregation operators and their application in multicriteria decision‐making

q‐Rung orthopair fuzzy soft average aggregation operators and their application in multicriteria decision‐making

Group decision making based on Dombi operators and its application to personnel evaluation

An interval‐valued exceedance method in MCDM with uncertain satisfactions

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