n-ary Fuzzy Logic and Neutrosophic Logic Operators

TL;DR

This paper extends classical Boolean logic operators to n-ary fuzzy and neutrosophic logic operators using Venn diagram codification and neutrosophic laws, enabling new logical operators in these frameworks.

Contribution

It introduces a generalization of Boolean operators to n-ary fuzzy and neutrosophic logic using innovative codification and neutrosophic laws.

Findings

New n-ary fuzzy logic operators developed.

Extension of neutrosophic logic operators.

Framework for applying these operators in logic and probability.

Abstract

We extend Knuth's 16 Boolean binary logic operators to fuzzy logic and neutrosophic logic binary operators. Then we generalize them to n-ary fuzzy logic and neutrosophic logic operators using the smarandache codification of the Venn diagram and a defined vector neutrosophic law. In such way, new operators in neutrosophic logic/set/probability are built.