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International Journal of Neutrosophic Science
Volume 18 , Issue 4, PP: 270-290 , 2022 | Cite this article as | XML | Html |PDF

Title

Heptapartitioned neutrosophic soft set

Authors Names :   S. Broumi   1 *     T. Witczak   2  

1  Affiliation :  Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco

    Email :  broumisaid78@gmail.com


2  Affiliation :  Institute of Mathematics, Faculty of Science and Technology, University of Silesia, Bankowa 14, 40-007 Katowice, Poland

    Email :  tm.witczak@gmail.com



Doi   :   https://doi.org/10.54216/IJNS.180423

Received: March 25, 2022 Accepted: July 07, 2022

Abstract :

The aim of this paper is to introduce the concept of heptapartitioned neutrosophic soft set and to study some

of its basic properties. This kind of set can be considered as a significant extension of the idea of neutrosophic

set. In general, our research is based on the earlier study presented by Radha and Stanis Arul Mary in 2021.

However, we combine their initial definition with the inspiring notion of soft set (which has been established

by Molodtsov in 1999). We examine algebraic operations on our sets. Then we show that the particular choose

of exactly seven neutrosophic logical values has an interesting interpretation in terms of ancient Jaina logic

(which has been developed centuries ago in India to deal with imprecise knowledge and the matter of paraconsistency).

Moreover, we exhibit some other potential practical applications of our theoretical concept. For

example, it can be applied in widely understood social sciences.

Keywords :

Keywords:heptapartitioned neutrosophic soft; soft set; Jaina logic.

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Cite this Article as :
S. Broumi , T. Witczak, Heptapartitioned neutrosophic soft set, International Journal of Neutrosophic Science, Vol. 18 , No. 4 , (2022) : 270-290 (Doi   :  https://doi.org/10.54216/IJNS.180423)