Abstract
In this paper at the beginning, we make a short history of the logics, from the classical Boolean logic to the most general logic of today neutrosophic logic. We define the general logic space and give the definition of the neutrosophic logic. Then we introduce the indeterminate models in information fusion, which are due either to the existence of some indeterminate elements in the fusion space or to some indeterminate masses. The best approach for dealing with such models is the neutrosophic logic, which is part of neutrosophy. Neutrosophic logic is connected with neutrosophic set and neutrosophic probability and statistics.
Highlights
Let Θ be a frame of discernment, defined as:Θ = {φ1, φ2, ..., φn}, n ≥ 2, (1)and its Super-Power Set: S Θ (Θ, ∪, ∩, C) (2)which means the set Θ closed under union, intersection, and respectively complement.As an alternative to the existing logics we have proposed the neutrosophic logic (NL) to represent a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined, unknown, incompleteness, inconsistency, redundancy, contradiction
This paper is organised as follows: we present the NL, the indeterminate masses, elements and models, and give an example of indeterminate intersection
In order for the paper to be easier understanding, a short history of logics was made in the introduction
Summary
Let Θ be a frame of discernment, defined as:. and its Super-Power Set (or fusion space):. As an alternative to the existing logics we have proposed the neutrosophic logic (NL) to represent a mathematical model of uncertainty, vagueness, ambiguity, imprecision, undefined, unknown, incompleteness, inconsistency, redundancy, contradiction. The three-valued logic was employed by Hallden (1949), Korner (1960), and Tye (1994) to solve Sorites Paradoxes. They used truth tables, such as Kleene’s, but everything depended on the definition of validity. This paper is organised as follows: we present the NL, the indeterminate masses, elements and models, and give an example of indeterminate intersection
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
