2017
DOI: 10.1007/s41066-017-0046-5
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Multi-attribute decision-making based on the SPIFGIA operators

Abstract: The work considers the prioritized relationships between different criteria with priority labels, and develops the scaled prioritized intuitionistic fuzzy geometric interaction averaging (SPIFGIA) operator, the scaled prioritized intuitionistic fuzzy weighted geometric interaction averaging (SPIFWGIA) operator, the scaled prioritized intuitionistic fuzzy hybrid geometric interaction averaging (SPIFHGIA) operator, and the scaled prioritized intuitionistic fuzzy hybrid weighted geometric interaction averaging (S… Show more

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Cited by 27 publications
(3 citation statements)
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“…Briefly, there are two approaches to classify studies in this area: (1) Content Approach; (2) Applied Approach [44]. In the content approach, two main steps are considered for decision-making issues: aggregation of opinions [45][46][47] and method exploitation. In the applied approach, researches on fuzzy numbers with interval values can be classified into five main domains [48]: (1) basic operators in fuzzy space with interval values [49]; (2) group decision [50,51]; (3) combining decision making with linguistic variables [52,53]; (4) matrix of judgment based on priority relations [54] and (5) development of the model of dual interval-valued fuzzy sets [55].…”
Section: Literature Reviewmentioning
confidence: 99%
“…Briefly, there are two approaches to classify studies in this area: (1) Content Approach; (2) Applied Approach [44]. In the content approach, two main steps are considered for decision-making issues: aggregation of opinions [45][46][47] and method exploitation. In the applied approach, researches on fuzzy numbers with interval values can be classified into five main domains [48]: (1) basic operators in fuzzy space with interval values [49]; (2) group decision [50,51]; (3) combining decision making with linguistic variables [52,53]; (4) matrix of judgment based on priority relations [54] and (5) development of the model of dual interval-valued fuzzy sets [55].…”
Section: Literature Reviewmentioning
confidence: 99%
“…The INS is a subclass of the NS and generalization of the IFS and IVIFS, which was proposed by Wang [6]. Motivated by some aggregation operators and decision-making methods for IFSs, IVIFSs, and NSs [14][15][16][17][18][19], a lot of theories about INSs have been put forward successively, and their basic concepts and aggregation tools play important roles in practical applications. For instance, Wang et al [6] defined the basic operational relations for INSs and Zhang et al [20] pointed out some drawbacks of these operational laws and improved them.…”
Section: Introductionmentioning
confidence: 99%
“…Because of the inherent complexity and uncertainty of the decision situation or the existence of multiple and conflicting objectives, decision-making problems are complex and difficult; particularly in the era of big data, decision making becomes more complicated because the huge amounts of decision information and alternatives are continuously growing. Many new decision-making methods, such as granular computing techniques [1,[6][7][8][9][10], have been proposed for expressing complex or uncertain information in decision-making processes and solving decision-making problems [11][12][13][14][15][16][17][18][19][20][21][22][23].…”
Section: Introductionmentioning
confidence: 99%