Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies

نویسنده

  • Florentin Smarandache
چکیده

In this paper, we make a short history about: the neutrosophic set, neutrosophic numerical components and neutrosophic literal components, neutrosophic numbers, and elementary neutrosophic algebraic structures. Afterwards, their generalizations to refined neutrosophic set, respectively refined neutrosophic numerical and literal components, then refined neutrosophic numbers and refined neutrosophic algebraic structures. The aim of this paper is to construct examples of splitting the literal indeterminacy (I) into literal sub-indeterminacies (I1, I2, ... Ir) , and to define a multiplication law of these literal sub-indeterminacies in order to be able to build refined I-neutrosophic algebraic structures. Also, examples of splitting the numerical indeterminacy (i) into numerical sub-indeterminacies, and examples of splitting neutrosophic numerical components into neutrosophic numerical sub-components are given.

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تاریخ انتشار 2015