Neutrosophic Logic and Its Scientific Applications

Abstract

AbstractThe scientific term neutrosophy was first coined by Florentin Smarandache a few years ago. The origins, attribute, extent of neutralities and their interactions with other ideational spectra, and indeterminacy are all investigated in this discipline of study. Neutrosophic logic, a group of many-valued systems which can be regarded as an extension of fuzzy logic, is one of the new theories based on the fundamental principles of neutrosophy. Neutrosophy logic is a new branch of logic that addresses the shortcomings of fuzzy and classical logic. Some of the disadvantages of fuzzy relations are failures to handle inconsistent information and the high processing cost of completing a non-linear program. In neutrosophic sets, truthfulness and falsity are independent, whereas in intuitionistic fuzzy sets, it is dependent. The neutrosophic logic has the ability to manipulate both incomplete and inconsistent data. So, there is a need for research into the use of neutrosophic logic in different domains from medical treatment to the role of a recommender system using new advanced computational intelligent techniques. In this study, we are discussing about basic concepts of neutrosophic logic, fuzzy logic’s drawbacks and advantages of using neutrosophic logic, and also the comparison between neutrosophic logic, intuitionistic and interval-valued fuzzy systems, and classical logic on different factors like uncertainty and vagueness.KeywordsIntuitionistic fuzzy logicUncertaintyInference systemNeutrosophic logicFuzzy logicIndeterminacy