Neutrosophic Theory and its Applications, Collected Papers, Vol. 1

Neutrosophic Theory means Neutrosophy applied in many fields in order to solve problems related to indeterminacy. Neutrosophy considers every entity together with its opposite or negation antiA, and with their spectrum of neutralities neutA in between them (i.e. entities supporting neither nor antiA). Where neutA, which of course depends on , can be indeterminacy, neutrality, tie (game), unknown, vagueness, contradiction, ignorance, incompleteness, imprecision, etc. Hence, in one hand, the Neutrosophic Theory is based on the triad , neutA, and antiA. In the other hand, Neutrosophic Theory studies the indeterminacy in general, labelled as I, with I^n = I for n greater than or equal to 1, and mI + nI = (m+n)I, in neutrosophic structures developed in algebra, geometry, topology etc. This volume contains 45 papers, written by the author alone or in collaboration with the following co-authors: Mumtaz Ali, Said Broumi, Sukanto Bhattacharya, Mamoni Dhar, Irfan Deli, Mincong Deng, Alexandru Gal, Valeri Kroumov, Pabitra Kumar Maji, Maikel Leyva- Vazquez, Feng Liu, Pinaki Majumdar, Munazza Naz, Karina Perez-Teruel, R dvan Sahin, A. A. Salama, Muhammad Shabir, Rajshekhar Sunderraman, Luige Vladareanu, Magdalena Vladila, Stefan Vladutescu, Haibin Wang, Hongnian Yu, Yan-Qing Zhang, about discounting of a neutrosophic mass in terms of reliability and respectively the importance of the source, evolution of sets from fuzzy set to neutrosophic set, classes of neutrosophic norm (n-norm) and neutrosophic conorm (n-conorm), applications of neutrosophic logic to physics, connections between extension logic and refined neutrosophic logic, approaches of neutrosophic logic to RABOT real time control, some applications of the neutrosophic logic to robotics, correlation coefficients of interval valued neutrosophic set, cosine similarity between interval valued neutrosophic sets, distance and similarity measures of interval neutrosophic soft sets, generalized interval neutrosop