Disease diagnosis using an advanced distance measure for Intuitionistic Fuzzy Sets

Talukdar, Pranjal; Dutta, Palash

doi:10.14303/irjm.2018.021

Cited by 3 publications

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“…Therefore, fuzzy sets are explored to represent uncertainty and to perform medical diagnosis as well [16]. Some recent development in medical diagnosis can also be encountered in [17][18][19][20][21][22][23][24]. Afterwards Zadeh [25] himself developed possibility theory which was thought to be Electronic supplementary material The online version of this article (https ://doi.org/10.1007/s4245 2-019-1871-8) contains supplementary material, which is available to authorized users.…”

Section: Introductionmentioning

confidence: 99%

Mathematics of uncertainty: an exploration on semi-elliptic fuzzy variable and its properties

Dutta

2019

SN Appl. Sci.

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Uncertainty is more or less encountered in industrial and medical systems as well. Uncertainty theory is an upgraded theory which comprises of possibility measure, necessity measure and credibility measure plays significant role in modelling uncertainty. In connection with uncertainty modeling, a special and intricate fuzzy variable viz., semi-elliptic fuzzy variable (SEFV) is thrashed out here. Subsequently, an attempt has been made to derive possibility, necessity and credibility measure of the SEFV first. Later, some other properties such as expected value, variance, rational upper bound etc are presented and based on that mean and variance ranking of SEFVs are proposed. Afterwards reliability analysis and medical diagnosis cases are carried out which exhibit the efficiency and novelty of the derived SEFV. In this work done, it is observed that the present work has the capability to resolve problems under uncertain complex situations. better to treat uncertainty and further studied by acolyte researchers such as Dubois and Prade [26], Klir [27], Yager [28] etc. Furthermore, Dubois and Prade [29] studied mean value of fuzzy numbers, Ban [30] discussed fuzzy valued measure and conditional expectations of fuzzy numbers, Heilpern [31]studied expected value of fuzzy numbers, Carlsson and Fuller [32] developed possiblistic mean and variance of fuzzy numbers, Chen and Tan [33] further developed mean value and variance of multiplication of fuzzy numbers. Nevertheless in the absence of self duality measure the earlier studies lead to the exaggeration of the reality. keeping this in mind, Liu and Liu [34] initiated a concept termed as credibility theory. Li and Liu [35] presented a sufficient and necessary condition for credibility measures. Further Liu and Liu [36] systematically studied and developed credibility theory. After that some extended studies on credibility theory can be observed in Liu [37], Zhou et al. [38], Yi et al. [39], Garai et al. [40].Although various types of fuzzy variables are encountered, however, an exceptional and intricate fuzzy variable SEFV in terms of credibility theory is not deliberated yet. This paper presents an approach to derive possibility, necessity and credibility measure of the SEFV. Furthermore, expected value, variance, rational upper bound etc of SEFV are presented. Then ranking of SEFNs through expected value and variance is proposed. Finally, novelty and applicability has been exhibited by performing reliability analysis and medical diagnosis cases.

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Section: Introductionmentioning

confidence: 99%

Mathematics of uncertainty: an exploration on semi-elliptic fuzzy variable and its properties

Dutta

2019

SN Appl. Sci.

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An Advanced Distance Measure for Intuitionistic Fuzzy Sets and Its Application in Decision Making

Talukdar

Dutta

2020

Recent Advances in Intelligent Information Systems and Applied Mathematics

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Medical Pre-Screening of Common Diseases

Dutta

2021

Advances in Systems Analysis, Software Engineering, and High Performance Computing

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In this chapter, relation between IFS and IVFS are studied and reviewed along with some existing distance measures on IFSs. Then, some distance measures for IVFSs are derived from IFSs and some properties on distance measures for IVFSs are ascertained. In the end, an attempt has been made to perform pre-screening test for common diseases of patients in two scenarios under this setting. In the first scenario, for medical prescreening IFSs data are taken and converted into IVFSs while IVFSs data are taken into consideration for the same in the second scenario.

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Disease diagnosis using an advanced distance measure for Intuitionistic Fuzzy Sets

Cited by 3 publications

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Mathematics of uncertainty: an exploration on semi-elliptic fuzzy variable and its properties

Mathematics of uncertainty: an exploration on semi-elliptic fuzzy variable and its properties

An Advanced Distance Measure for Intuitionistic Fuzzy Sets and Its Application in Decision Making

Medical Pre-Screening of Common Diseases

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