English | PDF | 2015 | 112 Pages | ISBN : 1599733404 | 1.09 MB

Usually the models of real world problems in almost all disciplines like eeering, medical sciences, mathematics, physics, computer science, manage- ment sciences, operations research and artificial intelligence are mostly full of complexities and consist of several types of uncertainties while dealing them in several occasion.

To overcome these di¢culties of uncertainties, many theories have been developed such as rough sets theory, probabil- ity theory, fuzzy sets theory, theory of vague sets, theory of soft ideals and the theory of intuition is tic fuzzy sets, theory of neutrosophic sets, Dezert-Smarandache Theory (DSmT), etc. Zadeh introduced the degree of membership/truth (t) in 1965 and de.ned the fuzzy set. At an assov introduced the degree of nonmembership/falsehood (f) in 1986 and de.ned the intuitionistic fuzzy set. Smarandache introduced the degree of inde- teacy/neutrality (i) as independent component in 1995 (published in 1998) and de.ned the neutrosophic set. He has coined the words "neutros- ophy" and "neutrosophic". In 2013 he re.ned the neutrosophic set to n components: t 1 ;t 2 ;:::;i 1 ;i 2 ;:::;f 1 ;f 2 ; . .



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