A geometric interpretation of the neutrosophic set — A generalization of the intuitionistic fuzzy set
By Florentin Smarandache. IEEE International Conference on Granular Computing, 2004
647 citations recorded by the source corpus.
In this paper we give a geometric interpretation of the Neutrosophic Set using the Neutrosophic Cube. Distinctions between the neutrosophic set and intuitionistic fuzzy set are also presented.
Subfields: Control and Systems Engineering, Management Science and Operations Research
View Paper: https://www.semanticscholar.org/paper/e64a61cb888d01d54d9f26374e1951af38f15446
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Control and Systems Engineering
- Seyed Hossein Razavi Hajiagha
- Shide Sadat Hashemi
- Jurgita Antucheviciene
- Mohamed Abdel-Basset
- Edmundas Kazimieras Zavadskas
- Gunasekaran Manogaran
- Mai Mohamed
- Surapati Pramanik
In Management Science and Operations Research
- Edmundas Kazimieras Zavadskas
- Jurgita Antucheviciene
- Seyed Hossein Razavi Hajiagha
- Shide Sadat Hashemi
- Florentin Smarandache
- Mohamed Abdel-Basset
- Gunasekaran Manogaran
- Mai Mohamed
Citations in the corpus
- Some Neutrosophic Probability Distributions (2018, background): “2 TERMINOLOGIES: We recollect some relevant basic preliminaries, and in particular, the work of Smarandache in [1, 9, 10], and Salama et al.”
- The Interval-Valued Intuitionistic Fuzzy MULTIMOORA Method for Group Decision Making in Engineering (2015, methodology): “One of the approaches could be based on the neutrosophic sets [71, 72] that are a generalization of the fuzzy and intuitionistic fuzzy sets.”
- Internet of Things (IoT) and its impact on supply chain: A framework for building smart, secure and efficient systems (2018, background): “Neutrosophic set theory and neutrosophic numbers Neutrosophic set theory, introduced by Smarandache [63], to overcome drawbacks of classical, fuzzy and intuitionistic fuzzy sets.”
- TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment (2014, background): “indeterminacy membership degree can be split into sub-components, such as“contradiction”, “uncertainty”, “unknown”, etc, [22].”
- An approach of TOPSIS technique for developing supplier selection with group decision making under type-2 neutrosophic number (2019, background): “The truth, indeterminacy and falsity degrees exist in the non-standard item interval suitable for each element of the universe [8].”
- Neutrosophic Sets: An Overview (2018, background): “Neutrosophic sets (NSs) proposed by (Smarandache, 1998, 1999, 2002, 2005, 2006, 2010) which is a generalization of fuzzy sets and intuitionistic fuzzy set, is a powerful tool to deal with incomplete, indeterminate and inconsistent information which exist in the real world.”
- Neutrosophic Overset, Neutrosophic Underset, and Neutrosophic Offset (2016, methodology): “Neutrosophic Over--/Under-/Off-Set and -Logic [1] were defined for the first time by the author in 1995 and presented to various international and national conferences and seminars [14-35] between 1995-2016 and first time published [1-9, 13] in 2007.”