Work place: Department of Mathematics, University of New Mexico, 705 Gurley Avenue, Gallup, NM 87301, USA
Research Interests: Data Structures and Algorithms, Computational Geometry, Statistics, Logic Circuit Theory
Dr. Florentin Smarandache is a Professor of Mathematics at the University of New Mexico in USA. He published over 75 books and 250 articles and notes in mathematics, physics, philosophy, psychology, rebus, literature. In mathematics his research is in number theory, non-Euclidean geometry, synthetic geometry, algebraic structures, statistics, neutrosophic logic and set (generalizations of fuzzy logic and set respectively), neutrosophic probability (generalization of classical and imprecise probability).Also, small contributions to nuclear and particle physics, information fusion, neutrosophy (a generalization of dialectics), law of sensations and stimuli, etc. He got the 2010 Telesio-Galilei Academy of Science Gold Medal, Adjunct Professor (equivalent to Doctor Honoris Causa) of Beijing Jiaotong University in 2011, and 2011 Romanian Academy Award for Technical Science (the highest in the country). Dr. W. B. Vasantha Kandasamy and Dr.Florentin Smarandache got the 2012 and 2011 New Mexico-Arizona Book Award for Algebraic Structures.
DOI: https://doi.org/10.5815/ijieeb.2014.03.01, Pub. Date: 8 Jun. 2014
The focus of this paper is to propose a new notion of neutrosophic crisp sets via neutrosophic crisp ideals and to study some basic operations and results in neutrosophic crisp topological spaces. Also, neutrosophic crisp L-openness and neutrosophic crisp L- continuity are considered as a generalizations for a crisp and fuzzy concepts. Relationships between the above new neutrosophic crisp notions and the other relevant classes are investigated. Finally, we define and study two different types of neutrosophic crisp functions.[...] Read more.
DOI: https://doi.org/10.5815/ijieeb.2014.02.06, Pub. Date: 8 Apr. 2014
In this paper, three new operations are introduced on intuitionistic fuzzy soft sets .They are based on concentration, dilatation and normalization of intuitionistic fuzzy sets. Some examples of these operations were given and a few important properties were also studied.[...] Read more.
DOI: https://doi.org/10.5815/ijieeb.2014.01.03, Pub. Date: 8 Feb. 2014
In this paper, three new operations have been introduced on intuitionistic fuzzy soft sets. They are based on Second Zadeh's implication, conjunction and disjunction operations on intuitionistic fuzzy sets. Some examples of these operations were given and a few important properties were also studied.[...] Read more.
DOI: https://doi.org/10.5815/ijieeb.2013.02.08, Pub. Date: 8 Aug. 2013
In this paper we study fuzzy soft matrix based on reference function.Firstly, we define some new operations such as fuzzy soft complement matrix and trace of fuzzy soft matrix based on reference function.Then, we introduced some related properties, and some examples are given. Lastly, we define a new fuzzy soft matrix decision method based on reference function.[...] Read more.
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