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Neutrosophic falling shadows applied to subalgebras and ideals in $BCK/BCI$-algebras
전영배,Florentin Smarandache,Hashem Bordbar 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.15 No.3
As a combination of neutrosophic set and falling shadow, neutrosophic falling shadow is introduced, and applied to $BCK/BCI$-algebras. Falling neutrosophic subalgebra and falling neutrosophic ideal in $BCK/BCI$-algebras are introduced, and related properties are investigated. Relations between falling neutrosophic subalgebra and falling neutrosophic ideal are discussed. A characterization of falling neutrosophic ideal is established.
Neutrosophic ${\mathcal N}$-structures and their applications in semigroups
Madad Khan,Saima Anis,Florentin Smarandache,전영배 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.14 No.6
The notion of neutrosophic ${\mathcal N}$-structure is introduced, and applied it to semigroup. The notions of neutrosophic ${\mathcal N}$-subsemigroup, neutrosophic ${\mathcal N}$-product and $\varepsilon$-neutrosophic ${\mathcal N}$-subsemigroup are introduced, and several properties are investigated. Conditions for neutrosophic ${\mathcal N}$-structure to be neutrosophic ${\mathcal N}$-subsemigroup are {provided.} Using neutrosophic ${\mathcal N}$-product, characterization of neutrosophic ${\mathcal N}$-subsemigroup is discussed. Relations between neutrosophic ${\mathcal N}$-subsemigroup and $\varepsilon$-neutrosophic ${\mathcal N}$-subsemigroup {are discussed}. We show that the homomorphic preimage of neutrosophic ${\mathcal N}$-subsemigroup is a neutrosophic ${\mathcal N}$-subsemigroup, and the onto homomorphic image of neutrosophic ${\mathcal N}$-subsemigroup is a neutrosophic ${\mathcal N}$-subsemigroup.
Noel Batista Hernandez,Maikel Y. Leyva Vazquez,Erick Gonzalez Caballero,Lilia E. Valencia Cruzaty,Wilmer Ortega Chavez,Florentin Smarandache 한국지능시스템학회 2021 INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGE Vol.21 No.3
This study introduces a method to measure the implementation of the training strategy of entrepreneurship competence as a contribution to the integrity and quality of future graduates from any higher education institutions. For this purpose, the theory of plithogenic sets was applied. These sets were defined to model concepts arising from the dynamic interaction of other simpler ones, which may have contradictions among each other and include neutralities or indeterminacies. To the best of our knowledge, this is the first time that plithogenic sets are applied in the mathematical modeling of entrepreneurship competence or any other pedagogic competence. The plithogenic numbers are represented and applied to SWOT (Strengths, Weaknesses, Opportunities, and Threats) analysis. This method was successfully applied at the University of Guayaquil, Ecuador. It is a simple method that includes an assessment based on linguistic terms and indeterminacies.