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Exploring the Extension of Natural Operations on Intervals, Matrices and Complex Numbers

By: Florentin Smarandache; W. B. Vasantha Kandasamy

...ervals, finite complex numbers and matrices. Secondly the authors introduce the new notion of finite complex modulo numbers just defined as for usual reals. Finally we introduced the notion of natural product Xn on matrices. This enables one to define product of two column matrices of same order. We can find also product of m*n matrices even if m not does equal n. This nat...

...In this chapter we just give a analysis of why we need the natural operations on intervals and if we have to define natural operations existing on reals to the intervals what changes should be made in the definition of intervals. Here we redefine the struc...

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Multi-Valued Logic, Neutrosophy, and Schrödinger Equation

By: Florentin Smarandache; V. Christianto

...lti-Valued Logic and Quantum Mechanics 15 2.5. Exercise 17 3 Neutrosophy 25 3.1. Introduction to Neutrosophy 25 3.2. Introduction to Non-Standard Analysis 26 3.3. Definition of Neutrosophic Components 27 3.4. Formalization 28 3.5. Evolution of an Idea 30 3.6. Definition of Neutrosophic Logic 31 3.7. Differences between Neutrosophic Logic and IFL 32 3.8. Operation...

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Advances and Applications of DSmT for Information Fusion (Collected Works) : Volume 1

By: Florentin Smarandache; Jean Dezert

...ion . . . . 225 10.3.1 A system of different types of conflicts . . . 225 10.3.2 Combination on generalized frames of discernment . . . 227 10.3.3 Reallocation of belief masses of conflicts . . . 229 10.3.4 Summary of the idea of the minC combination . . . 230 10.4 Comparison . . . . . 231 10.4.1 Comparison of generalized frames of discernment . . . 231 10.4.2 Compa...

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