A New Concept of a Similarity Measure for Intuitionistic Fuzzy Sets and Its Use in Group Decision Making

Szmidt, Eulalia; Kacprzyk, Janusz

doi:10.1007/11526018_27

Cited by 113 publications

(75 citation statements)

References 27 publications

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“…At this point, one may decide to further enhance the query capabilities of the IF-Oracle utility by allowing versions of hierarchies. In such a case, similarities 28 and dissimilarities 29 between different versions should be reflected in the query results.…”

Section: If-ora Ad Hoc Utilitymentioning

confidence: 99%

The notion of H-IFS: An approach for enhancing the OLAP capabilities in oracle10g

Chountas

Rogova

Atanassov

2010

Int. J. Intell. Syst.

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Query answering requirements for a knowledge-based treatment of user requests led us to introduce the concept of closure of an intuitionistic fuzzy set over a universe that has a hierarchical structure. We recommend the automatic analysis of queries according to concepts defined as part of knowledge-based hierarchies to guide the query answering as part of an integrated database environment with the aid of hierarchical intuitionistic fuzzy sets (H-IFS). In this paper based on the notion of H-IFS, we propose an ad hoc utility build on top of Oracle10g that allows us to enhance the query capabilities of by providing better, knowledgeable, and optimized answers to user's requests. C

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Section: If-ora Ad Hoc Utilitymentioning

confidence: 99%

The notion of H-IFS: An approach for enhancing the OLAP capabilities in oracle10g

Chountas

Rogova

Atanassov

2010

Int. J. Intell. Syst.

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“…So far, a number of literatures have discussed the topic of IFVs theory which has been widely used in many fields such as multiattribute decision making [11][12][13][14][15][16][17][18][19][20], medical diagnosis [21][22][23], pattern recognition [24][25][26][27][28][29], and clustering analysis [30]. Many research achievement have been made to enrich the IFSs theory from different points of view, including interval-valued intuitionistic fuzzy sets (IVIFSs) [31,32], intuitionistic fuzzy entropy measures [33][34][35][36][37][38][39][40][41][42][43], distance and similarity measures [44][45][46][47] [48][49][50][51][52][53], and intuitionistic fuzzy aggregation operators [54][55][56][57]. In th...…”

Section: Introductionmentioning

confidence: 99%

Hybrid Multiattribute Group Decision Making Based on Intuitionistic Fuzzy Information and GRA Method

Guo

2013

ISRN Applied Mathematics

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Hybrid multiple attribute group decision making involves ranking and selecting competing courses of action available using attributes to evaluate the alternatives. The decision makers assessment information can be expressed in the form of real number, interval-valued number, linguistic variable, and the intuitionistic fuzzy number. All these evaluation information can be transformed to the form of intuitionistic fuzzy numbers. A combined GRA with intuitionistic fuzzy group decision-making approach is proposed. Firstly, the hybrid decision matrix is standardized and then transformed into an intuitionistic fuzzy decision matrix. Then, intuitionistic fuzzy averaging operator is utilized to aggregate opinions of decision makers. Intuitionistic fuzzy entropy is utilized to obtain the entropy weights of the criteria, respectively. After intuitionistic fuzzy positive ideal solution and intuitionistic fuzzy negative ideal solution are calculated, the grey relative relational degree of alternatives is obtained and alternatives are ranked. In the end, a numerical example illustrates the validity and applicability of the proposed method.

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“…IFS are well suited to dealing with inevitably imprecise or not totally reliable judgment 10,11 . Szmidt and Kacprzyk 12,13 introduce an intuitionistic fuzzy preference relation (IFPR) to study the consensus-reaching process, and to analyze the extent of agreement within a group of experts. Xu 14,15,16,17 investigates the properties of IFPRs by constructing a score matrix and an accuracy matrix.…”

Section: Introductionmentioning

confidence: 99%

Group decision making methods of the incomplete IFPRs and IPRs

Gong

Guo

2012

IJCIS

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We propose optimal priority methods on the incomplete intuitionistic fuzzy preference relation (IFPR) and the incomplete interval preference relation (IPR). The least squares method has been used previously to derive the priority vector of the fuzzy preference relation (FPR). In this paper, we generalize the least squares method to IFPR and IPR based on our proposed multiplicative consistent conditions. We also investigate the relationships between the optimal models of incomplete IFPRs, IPRs and FPRs. We also apply the same method to the case of collective judgment with complete information. We illustrate the feasibility and effectiveness of our proposed methods with three numerical examples.

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A New Concept of a Similarity Measure for Intuitionistic Fuzzy Sets and Its Use in Group Decision Making

Cited by 113 publications

References 27 publications

The notion of H-IFS: An approach for enhancing the OLAP capabilities in oracle10g

The notion of H-IFS: An approach for enhancing the OLAP capabilities in oracle10g

Hybrid Multiattribute Group Decision Making Based on Intuitionistic Fuzzy Information and GRA Method

Group decision making methods of the incomplete IFPRs and IPRs

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