Interval-Valued Neutrosophic Oversets, Neutrosophic Undersets, and Neutrosophic Offsets

Article OPEN
Smarandache , Florentin;
(2016)
  • Publisher: www.IJSEI.com
  • Related identifiers: doi: 10.5281/zenodo.57411
  • Subject: neutrosophic overlogic | neutrosophic set | neutrosophic logic | [ INFO.INFO-AI ] Computer Science [cs]/Artificial Intelligence [cs.AI] | neutrosophic overset

We have proposed since 1995 the existence of degrees of membership of an element with respect to a neutrosophic set to also be partially or totally above 1 (overmembership), and partially or totally below 0 (undermembership) in order to better describe our world problem... View more
  • References (7)

    [1] Florentin Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability and Statistics, ProQuest Info & Learning, Ann Arbor, MI, USA, pp. 92-93, 2007, http://fs.gallup.unm.edu/ebook-neutrosophics6.pdf ; first edition reviewed in Zentralblatt für Mathematik (Berlin, Germany): https://zbmath.org/?q=an:01273000 .

    [4] Florentin Smarandache, Neutrosophic Set - A Generalization of the Intuitionistic Fuzzy Set; various versions of this article were published as follows: in International Journal of Pure and Applied Mathematics, Vol. 24, No. 3, 287-297, 2005; in Proceedings of 2006 IEEE International Conference on Granular Computing, edited by Yan-Qing Zhang and Tsau Young Lin, Georgia State University, Atlanta, USA, pp. 38-42, 2006; in Journal of Defense Resources Management, Brasov, Romania, No. 1, 107-116, 2010. as A Geometric Interpretation of the Neutrosophic Set - A Generalization of the Intuitionistic Fuzzy Set, in Proceedings of the 2011 IEEE International Conference on Granular Computing, edited by Tzung-Pei Hong, Yasuo Kudo, Mineichi Kudo, Tsau-Young Lin, Been-Chian Chien, Shyue-Liang Wang, Masahiro Inuiguchi, GuiLong Liu, IEEE Computer Society, National University of Kaohsiung, Taiwan, 602-606, 8-10 November 2011; http://fs.gallup.unm.edu/IFS-generalized.pdf

    [5] Florentin Smarandache, Degree of Dependence and Independence of the (Sub)Components of Fuzzy Set and Neutrosophic Set, Neutrosophic Sets and Systems (NSS), Vol. 11, 95-97, 2016.

    [6] Florentin Smarandache, Vietnam Veteran în Stiințe Neutrosofice, instantaneous photo-video diary, Editura Mingir, Suceava, 2016.

    [7] Florentin Smarandache, Neutrosophic Overset Applied in Physics, 69th Annual Gaseous Electronics Conference, Bochum, Germany [through American Physical Society (APS)], October 10, 2016 - Friday, October 14, 2016. Abstract submitted on 12 April 2016.

    [8] Dumitru P. Popescu, Să nu ne sfiim să gândim diferit - de vorbă cu prof. univ. dr. Florentin Smarandache, Revista “Observatorul”, Toronto, Canada, Tuesday, June 21, 2016, http://www.observatorul.com/default.asp?action=articleviewdetail&ID= 15698

    [9] F. Smarandache, Operators on Single-Valued Neutrosophic Overset, Neutrosophic Underset, and Neutrosophic Offset, Annals of Pure and Applied Mathematics, submitted, 2016.

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