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Positive Implicative Ideals of BCK-Algebras Based on Intuitionistic Falling Shadows

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Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
2
Department of Mathematics Education, Chinju National University of Education, Jinju 52673, Korea
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Department of Mathematics, Faculty of Arts and Sciences, Adiyaman University, 02040 Adiyaman, Turkey
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(9), 149; https://doi.org/10.3390/math6090149
Received: 9 August 2018 / Revised: 19 August 2018 / Accepted: 24 August 2018 / Published: 29 August 2018
The concepts of a positive implicative ( , ∈)-intuitionistic fuzzy ideal and a positive implicative falling intuitionistic fuzzy ideal are introduced, and several properties are investigated. Characterizations of a positive implicative ( , ∈)-intuitionistic fuzzy ideal are obtained, and relations between a positive implicative ( , ∈)-intuitionistic fuzzy ideal and an intuitionistic fuzzy ideal are discussed. Conditions for an intuitionistic fuzzy ideal to be a positive implicative ( , ∈)-intuitionistic fuzzy ideal are provided, and relations between a positive implicative ( , ∈)-intuitionistic fuzzy ideal, a falling intuitionistic fuzzy ideal and a positive implicative falling intuitionistic fuzzy ideal are considered. Conditions for a falling intuitionistic fuzzy ideal to be positive implicative are given. View Full-Text
Keywords: intuitionistic random set; intuitionistic falling shadow; (positive implicative) (∈, ∈)-intuitionistic fuzzy ideal; (positive implicative) falling intuitionistic fuzzy ideal intuitionistic random set; intuitionistic falling shadow; (positive implicative) (∈, ∈)-intuitionistic fuzzy ideal; (positive implicative) falling intuitionistic fuzzy ideal
MDPI and ACS Style

Jun, Y.B.; Roh, E.H.; Öztürk, M.A. Positive Implicative Ideals of BCK-Algebras Based on Intuitionistic Falling Shadows. Mathematics 2018, 6, 149. https://doi.org/10.3390/math6090149

AMA Style

Jun YB, Roh EH, Öztürk MA. Positive Implicative Ideals of BCK-Algebras Based on Intuitionistic Falling Shadows. Mathematics. 2018; 6(9):149. https://doi.org/10.3390/math6090149

Chicago/Turabian Style

Jun, Young B., Eun H. Roh, and Mehmet A. Öztürk 2018. "Positive Implicative Ideals of BCK-Algebras Based on Intuitionistic Falling Shadows" Mathematics 6, no. 9: 149. https://doi.org/10.3390/math6090149

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