Entropy for intuitionistic fuzzy sets

Szmidt, Eulalia; Kacprzyk, Janusz

doi:10.1016/s0165-0114(98)00402-3

Cited by 839 publications

(457 citation statements)

References 13 publications

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“…Let us consider the same example as Szmidt and Kacprzyk 34,35 . They consist of a set of diseases The characteristic symptoms for the diseases considered are given as follows, 9), we assign to the ith patient the diagnosis whose symptoms have the highest symmetric discrimination information measured from the patient's symptoms.…”

Section: Application 1 Medical Diagnosismentioning

confidence: 99%

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An Integrated Intuitionistic Fuzzy Similarity Measures for Medical Problems

Hung

Wang

2014

IJCIS

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The purpose of this paper is to develop an integrated similarity measures model based on intuitionistic fuzzy sets. This integrated model has improved two similarity measures methods: (1) Ye (Mathematical and Computer Modelling, 53, 91-97 (2011)) presented a novel cosine similarity measures method for handling pattern recognition problems based on intuitionistic fuzzy sets. However, in some cases, Ye's method can not give sufficient information to discriminate a sample between two patterns. Therefore, we provide an improved method for the similarity measure. (2) Hung et al. (Computer-Aided Design, 40, 447-454 (2008)) provided a new score function to measure the degree of suitability of each alternative. In this paper, we extend their method to modify the hesitation parameter with rate operations as a defuzzfication function for each characteristic, and then the defuzzy results as a parameter input new similarity measure method based on the Minkowski distance conception. Finally, the proposed similarity measures model is applied to two medical diagnosis problems to demonstrate the usefulness of this study. Furthermore, in order to make computing and ranking results easier, a computer-based interface system is also developed, and this system may help to make a decision more efficiently.

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Section: Application 1 Medical Diagnosismentioning

confidence: 99%

“…We obtained the same results, i.e. the same quality of diagnosis for each patient when looking for the solution by applying the normalized Euclidean distance of Szmidt and Kacprzyk 34,35 .…”

Section: Application 1 Medical Diagnosismentioning

confidence: 99%

An Integrated Intuitionistic Fuzzy Similarity Measures for Medical Problems

Hung

Wang

2014

IJCIS

View full text Add to dashboard Cite

show abstract

“…The first, E F , was presented in 1996 in [61], and the second, E c , in 2001 in [91]. The difference between the two definitions lies in the fact that E F is a measure of how far an IVFS is from a…”

Section: Entropiesmentioning

confidence: 99%

“…A study of the main properties of E c can be found in [39,91]. In this latter paper, a first attempt to relate E F to E c by means of a novel construction method is presented.…”

Section: Definition 9 a Real Function E C : Ivfss(u ) → R + Is Callementioning

confidence: 99%