Interval Neutrosophic Sets

By Haibin Wang, P. Madiraju, Yanqing Zhang, Rajshekhar Sunderraman. 2004

77 citations recorded by the source corpus.

A neutrosophic set is a part of neutrosophy that studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. The neutrosophic set is a powerful general formal framework that has been recently proposed. However, the neutrosophic set needs to be specified from a technical point of view. Now we define the set-theoretic operators on an instance of a neutrosophic set, and call it an Interval Neutrosophic Set (INS). We prove various properties of INS, which are connected to operations and relations over INS. Finally, we introduce the convexity of interval neutrosophic sets.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/03e61ea97abb7ac1d4be7589987be29e3a3b4721

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In Computational Theory and Mathematics

1. Madhumangal Pal
2. Monoranjan Bhowmik
3. Paschim Medinipur

In Control and Systems Engineering

1. Madhumangal Pal
2. Monoranjan Bhowmik
3. Paschim Medinipur

In Management Science and Operations Research

1. Madhumangal Pal
2. Monoranjan Bhowmik
3. Paschim Medinipur

Citations in the corpus

• Intuitionistic Neutrosophic Set (2009, methodology): “The intersection of two truth-value based neutrosophic sets A and B is also a neutrosophic set, whose truth-membership, indeterminacy-membership and falsity-membership functions are )}(),({min”
• Intuitionistic Neutrosophic Set Relations and Some of Its Properties (2010, methodology): “Now we recall some definitions of Wang et al.[2].”