International Journal of Neutrosophic Science
  IJNS
  2690-6805
  2692-6148
  
   10.54216/IJNS
   https://www.americaspg.com/journals/show/1190
  
 
 
  
   2020
  
  
   2020
  
 
 
  
   Heptapartitioned neutrosophic soft set
  
  
   Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, B.P 7955, Sidi Othman, Casablanca, Morocco
   
    S.
    Broumi
   
   Institute of Mathematics, Faculty of Science and Technology, University of Silesia, Bankowa 14, 40-007 Katowice, Poland
   
    T.
    Witczak
   
  
  
   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.
  
  
   2022
  
  
   2022
  
  
   270
   290
  
  
   10.54216/IJNS.180423
   https://www.americaspg.com/articleinfo/21/show/1190