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T01 - Foundations of Neutrosophic Logic and Set and their Applications to Information Fusion

The combination of information is a hot topic of research especially in the development of complex systems involving imprecise, uncertain and potentially highly conflicting information/data with usually (but not necessarily) human interaction at some higher fusion level for efficient decision-making. Modern multisensor systems for tracking, classification, diagnosis, situation assessment, etc. need solid theoretical tools to combine efficiently information in order to reduce as best as possible ignorances and contradictions in a coherent way to help to take proper decision. The mathematical level of this tutorial and of the didactic examples will be kept as simple as possible to show the advantages of this new approach over previous ones.

This tutorial presents the definitions of neutrosophic logic and set, the N-norm and N-conorm, various particular cases of N-norms, and the applications of the neutrosophics in many information research fields.

Afterwards, the classical bba (or mass in information fusion) is extended to the neutrosophic bba and the neutroosphic operators are used to fusion the information from multiple sources.

Instructor biography

Florentin Smarandache got a M. Sc. Degree in both Mathematics and Computer Science from the University of Craiova in 1979, received a Ph. D. in Mathematics from the State University of Moldova at Kishinev in 1997, and continued postdoctoral studies at various American Universities (New Mexico State University in Las Cruces, Los Alamos National Laboratory) after emigration. In 1996 he became an American citizen.

He worked as a professor of mathematics for many years in Romania, Morocco, and United States, and between 1990-1995 as a software engineer for Honeywell, Inc., in Phoenix, Arizona. In present, he teaches mathematics at the University of New Mexico, Gallup Campus, where he is a Full Professor.

He is the author, co-author, editor and co-editor of 80 books, over 200 scientific notes and articles, and contributed to over 70 scientific journals from around the world (in mathematics, informatics, physics, philosophy, etc.). He set up the neutrosophic logic (which generalizes the fuzzy logic, especially the intuitionistic fuzzy logic), the neutrosophic set (which generalizes the intuitionistic fuzzy set), and neutrosophic probability (generalization of the classical and imprecise probability).

He organized the 'First International Conference on Neutrosophics' at the University of New Mexico, 1-3 December 2001. Since 2003 he co-organized, with Dr. Jean Dezert from France, Special Sessions to many FUSION International Conferences dedicated to the DSmT of plausible and paradoxist reasoning in information, and presented papers and tutorial to all Fusion International Conferences (2003-2011).

He was also sponsored by Marcus Evans Defence Co., by NASA Langley Research Center (Hampton, VA, USA), NATO Research Institute (Albena, Bulgaria), Air Force Research Lab – SUNY IT (Rome, New York State, USA), ENSIETA (Brest, France), etc. to present papers on DSmT and neutrosophic logic and set.

He was appointed as Professor Adjunct (equivalent to Doctor Honoris Causa) at the Beijing Jiaotong University, China, in December 2011, for his work in science.

He received the 2011 New Mexico Book Award (together with Dr. W. B. Vasantha Kandasamy) for Algebraic Structures [Albuquerque, USA], and also got the 2011 Romanian Academy Award (the highest in Romania) for his group of papers on Neutrosophic Logic and Information Fusion used in Technical Sciences.