An application of neutrosophic sets in medical diagnosis Athar Kharalyz National University of Sciences and Technology (NUST), H-12, Islamabad, PAKISTAN atharkharal@gmail.com Abstract. In this paper we study the Sanchez’s approach for medical diagnosis and extend this concept with the notion of neutrosophic set theory (which is a generalization of both Fuzzy Set Theory and Intuitionistic Fuzzy Set Theory).
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Introduction
Neutrosophic logic, introduced by Smarandache [18] is a generalization of fuzzy logic and several related systems. Neutrosophic sets and logic are the foundation for many theories which are more general than their classical counterparts in fuzzy, intuitionistic fuzzy and interval valued frameworks. This framework has found practical applications in a variety of di¤erent …elds, such as relational database systems, semantic web services [19], …nancial data set detection [9], new economies growth and decline analysis [10], image segmentation [4, 6], image denoising [5] and threshholding [2], binary classi…cation through neural networks [11], multiresolution wavelet based image segmentation [15] and multi criteria decision making [8]. Such multiplicity of applications also prompt towards further exploration of neutrosophic sets from a practical and theoretical point of view. Thus U. Rivieccio has documented di¤erent aspects of the potentials of neutrosophic sets and logic in his seminal work [12]. Automated medical diagnosis is of considerable interest and practical application in circumstances where access of human means of diagnosis are either denied or are very di¢ cult e.g. in telemedicine, space medicine and rescue services. Consequently, starting from the early time of Arti…cial Intelligence (days of ELISA) medical diagnosis has received ample attention from both computer science and computer applicable mathematics research community. After the inception of fuzzy sets in 1965, attempts were renewed to apply the then new framework of fuzzy logic to the problem of diagnosis. Sanchez [14] was the …rst one who applied his method of resolution of composition for fuzzy relational equations [13] to the problem of medical diagnosis. This method was further extended using intuitionistic fuzzy sets by De, Biswas and Roy [3]. Kharal [7] used another intuitionistic fuzzy variant of Sanchez’s method to …nd best suited drug for patients in an automated medical diagnosis environment. In this paper we extend the work of Sanchez in the framework of netrosophic sets. The method presented is more ‡exible and better equipped to handle the uncertainty, typically found in medical diagnostic reasoning. The method of neutrosophic medical diagnosis involves neutrosophic relations. Organization of the work is as follows: Section Paper writing started on 7 October 2011 author. Ph: 0092 333 6261309 z A version of this manuscript has also been submitted to arXiv.org on ??. y Corresponding
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