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Alkhazaleh, Shawkat
Neutrosophic sets and systems, 09/2015, Letnik: 9Journal Article
In 1995, Smarandache talked for the first time about neutrosophy and he defined one of the most important new mathematical tool which is a neutrosophic set theory as a new mathematical tool for handling problems involving imprecise, indeterminacy, and inconsistent data. He also defined the neutrosophic norm and conorms namely N-norm and N-conorm respectively. In this paper we give generating theorems for N-norm and N-conorm. Given an N-norm we can generate a class of N-norms and N-cnorms, and given an N-conorm we can generate a class of N-conorms and N-norms. We also give bijective generating theorems for N-norms and N-conorms. Keywords: N-norm; N-conorm; generating theorem; bijective generating theorem.
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