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Neutrosophic Sets: An Overview

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 30 Apr 2018Publisher:ZenodoJournal:viXra

Authors: Said Broumi; Mohamed Talea; Vakkas Uluçay; Florentin Smarandache; Assia Bakali; Mehmet Şahin;

doi: 10.5281/zenodo.1237939 , 10.5281/zenodo.1237940

Neutrosophic Sets: An Overview

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Abstract

In this study, we give some concepts concerning the neutrosophic sets, single valued neutrosophic sets, interval-valued neutrosophic sets, bipolar neutrosophic sets, neutrosophic hesitant fuzzy sets, inter-valued neutrosophic hesitant fuzzy sets, refined neutrosophic sets, bipolar neutrosophic refined sets, multi-valued neutrosophic sets, simplified neutrosophic linguistic sets, neutrosophic over/off/under sets, rough neutrosophic sets, rough bipolar neutrosophic sets, rough neutrosophic hyper-complex set, and their basic operations. Then we introduce triangular neutrosophic numbers, trapezoidal neutrosophic fuzzy number and their basic operations. Also some comparative studies between the existing neutrosophic sets and neutrosophic number are provided.

Related Organizations

University of New Mexico
United States
Saroj Mohan Institute of Technology
India
UNIVERSITE HASSAN II
École Royale Navale
Morocco

Keywords

neutrosophic number, neutrosophic hesitant fuzzy sets

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