Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Article
Publication Date
2025
Abstract
The study of uncertainty has been a significant area of research, with concepts such as fuzzy sets [87], fuzzy graphs [51], and neutrosophic sets [58] receiving extensive attention. In Neutrosophic Logic, indeterminacy often arises from real-world complexities. This paper explores the concept of locality as a key factor in determining indeterminacy, building upon the framework introduced by F. Smarandache in [73]. Locality refers to processes constrained within a specific region, where an object or system is directly influenced by its immediate surroundings. In contrast, nonlocality involves effects that transcend spatial or temporal boundaries, where changes in one location have direct implications for another. This paper introduces the concepts of Local-Neutrosophic Logic and Local-Neutrosophic Set by integrating the notion of locality into Neutrosophic Logic. It provides their mathematical definitions and examines potential applications.
Publication Title
Multicriteria Algorithms with Applications
Volume
6
First Page
66
Last Page
86
Language (ISO)
English
Keywords
Neutrosophic Logic, Neutrosophic Set, Fuzzy Logic, Locality.
Recommended Citation
Smarandache, Florentin and Takaaki Fujita.
"Local-Neutrosophic Logic and Local-Neutrosophic Sets: Incorporating Locality with Applications."
Multicriteria Algorithms with Applications
