Generalized intuitionistic fuzzy soft sets with applications in decision-making

Agarwal, Manish; Biswas, K. K.; Hanmandlu, M.

doi:10.1016/j.asoc.2013.03.015

Cited by 154 publications

(86 citation statements)

References 21 publications

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“…Since the concept of soft set has been proposed, it was usually combined with other concepts, such as fuzzy set [2], interval-valued fuzzy set [3], intuitionistic fuzzy set [4] and type-2 fuzzy set [5]. The advantage of soft set is that it is free from the inadequacy of the parameterization tools, such as the probability theory, fuzzy sets and rough sets [1,4].…”

Section: Introductionmentioning

confidence: 99%

Uncertain linguistic fuzzy soft sets and their applications in group decision making

Tao

Song²,

Zhou

et al. 2015

Applied Soft Computing

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Section: Introductionmentioning

confidence: 99%

Uncertain linguistic fuzzy soft sets and their applications in group decision making

Tao

Song²,

Zhou

et al. 2015

Applied Soft Computing

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“…Many scholars focused this theory and developed it very fast in theory and practice. Recently, it has been combined with theories, such as fuzzy set [2][3][4][5], rough set [6], algebras [7,8], group [9,10], ideal [11], topology [12] and intuitionistic fuzzy soft sets [13]. Moreover, soft set theory has been applied in areas, such as parameters reduction [14][15][16], decision making [17][18][19][20], risk assessment [21], medical diagnosis [22][23][24], group decision [25].…”

Section: Introductionmentioning

confidence: 99%

Fault-tolerant enhanced bijective soft set with applications

Гонг

Wang

Peng

2017

Applied Soft Computing

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a b s t r a c tAs an extension of the soft set, the bijective soft set can be used to mine data from soft set environments, and has been studied and applied in some fields. However, only a small proportion of fault data will cause bijective soft sets losing major recognition ability for mining data. Therefore, this study aims to improve the bijective soft set-based data mining method on tolerate-fault-data ability. First some notions and operations of the bijective soft set at a ␤-misclassification degree is defined. Moreover, algorithms for finding an optimal ␤, reductions, cores, decision rules and misclassified data are proposed. This paper uses a real problem in gaining shoreline resources evaluation rules to validate the model. The results show that the proposed model has the fault-tolerant ability, and it improves the tolerate-ability of bijective soft set-based data mining method. Moreover, the proposed method can help decision makers to discover fault data for further analysis.

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“…But, degree of acceptance and degree of rejection may overlap in some cases. [9,10] In that case, ideas of generalized intuitionistic fuzzy set of different types come out. Clearly, 0 ≤ min (μ A (x), ν A (x)) ≤ 0.5.…”

Section: Generalized Intuitionistic Fuzzy Setmentioning

confidence: 99%

Optimization under Generalized Intuitionistic Fuzzy Environment

Garai¹,

Ray²

2013

IJCA

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This paper presents the concept of generalized intuitionistic fuzzy set (GIFS) and optimization technique under generalized intuitionistic fuzzy environment. The idea of GIFS was introduced by Tapas K. Modal et al. Here, another new GIFS has been introduced. Solution technique of optimization problem involving both types of GIFS has been discussed. For the sake of simplicity alone, the same problem, as studied by Angelov, who first well developed the intuitionistic fuzzy optimization technique in 1997, is taken. Conclusions are obtained finally. General TermsFuzzy optimization, generalized intuitionistic fuzzy set. KeywordsType I generalized intuitionistic fuzzy set, type II generalized intuitionistic fuzzy set, intuitionistic fuzzy optimization, generalized intuitionistic fuzzy optimization.

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Generalized intuitionistic fuzzy soft sets with applications in decision-making

Cited by 154 publications

References 21 publications

Uncertain linguistic fuzzy soft sets and their applications in group decision making

Uncertain linguistic fuzzy soft sets and their applications in group decision making

Fault-tolerant enhanced bijective soft set with applications

Optimization under Generalized Intuitionistic Fuzzy Environment

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