Interval Neutrosophic Sets and Logic: Theory and Applications in Computing

TL;DR

This book introduces interval neutrosophic sets and logic, exploring their theoretical foundations and practical applications in decision making, databases, and semantic web services, to handle fuzzy, incomplete, and inconsistent information.

Contribution

It provides a comprehensive framework for interval neutrosophic sets and logic, including definitions, properties, inference systems, and real-world applications in computing.

Findings

Defined interval neutrosophic sets and operators.

Developed an inference system for decision making.

Applied neutrosophic logic to semantic web services.

Abstract

This book presents the advancements and applications of neutrosophics. Chapter 1 first introduces the interval neutrosophic sets which is an instance of neutrosophic sets. In this chapter, the definition of interval neutrosophic sets and set-theoretic operators are given and various properties of interval neutrosophic set are proved. Chapter 2 defines the interval neutrosophic logic based on interval neutrosophic sets including the syntax and semantics of first order interval neutrosophic propositional logic and first order interval neutrosophic predicate logic. The interval neutrosophic logic can reason and model fuzzy, incomplete and inconsistent information. In this chapter, we also design an interval neutrosophic inference system based on first order interval neutrosophic predicate logic. The interval neutrosophic inference system can be applied to decision making. Chapter 3 gives one application of interval neutrosophic sets and logic in the field of relational databases. Neutrosophic data model is the generalization of fuzzy data model and paraconsistent data model. Here, we generalize various set-theoretic and relation-theoretic operations of fuzzy data model to neutrosophic data model. Chapter 4 gives another application of interval neutrosophic logic. A soft semantic Web Services agent framework is proposed to faciliate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft Semantic Web Services agent is implemented using interval neutrosophic logic.