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MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem

By Kandasamy, W. B. Vasantha

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Book Id: WPLBN0100303043
Format Type: PDF (eBook)
File Size: 2.71 MB.
Reproduction Date: 8/1/2016

Title: MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem  
Author: Kandasamy, W. B. Vasantha
Language: English
Subject: Non Fiction, Science
Collections: Mathematics, Authors Community
Publication Date:
Publisher: EuropaNova


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Vasantha Kandasamy, W. B., & Smarandache, F. (2016). MOD Natural Neutrosophic Subset Topological Spaces and Kakutani’s Theorem. Retrieved from

In this book authors for the first time develop the notion of MOD natural neutrosophic subset special type of topological spaces using MOD natural neutrosophic dual numbers or MOD natural neutrosophic finite complex number or MOD natural neutrosophic-neutrosophic numbers and so on to build their respective MOD semigroups. Later they extend this concept to MOD interval subset semigroups and MOD interval neutrosophic subset semigroups. Using these MOD interval semigroups and MOD interval natural neutrosophic subset semigroups special type of subset topological spaces are built. Further using these MOD subsets we build MOD interval subset matrix semigroups and MOD interval subset matrix special type of matrix topological spaces. Likewise using MOD interval natural neutrosophic subsets matrices semigroups we can build MOD interval natural neutrosophic matrix subset special type of topological spaces. The final chapter mainly proposes several open conjectures about the validity of the Kakutani’s fixed point theorem for all MOD special type of subset topological spaces.


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