Neutrosophic falling shadows applied to subalgebras and ideals in $BCK/BCI$-algebras

다국어 초록 (Multilingual Abstract)

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.

참고문헌 (Reference)

1 P. Liu, "Some neutrosophic uncertain linguistic number Heronian mean operators and their application to multi-attribute group decision making" 28 : 1079-1093, 2017

2 I. R. Goodman, "Recent Developments in Fuzzy Sets and Possibility Theory" Pergamon 327-343, 1982

3 Z. M. Chen, "On ideals in BCI-algebras" 36 (36): 497-501, 1991

4 K. Iseki, "On BCI-algebras" 8 : 125-130, 1980

5 F. Smarandache, "Neutrosophy, Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning"

6 정영배, "Neutrosophic subalgebras of several types in $BCK/BCI$-algebras" 기초자연과학연구소 14 (14): 75-86, 2017

7 Arsham Borumand Saeid, "Neutrosophic subalgebras of $BCK/BCI$-algebras based on neutrosophic points" 기초자연과학연구소 14 (14): 87-97, 2017

8 F. Smarandache, "Neutrosophic set-a generalization of the intuitionistic fuzzy set" 24 (24): 287-297, 2005

9 M. A. Ozturk, "Neutrosophic ideals in BCK=BCI-algebras based on neutrosophic points" 8 : 1-17, 2018

10 S. K. Tan, "Fuzzy set operations based on the theory of falling shadows" 174 : 242-255, 1993

11 S. K. Tan, "Fuzzy inference relation based on the theory of falling shadows" 53 : 179-188, 1993

12 P. Z. Wang, "Fuzzy Sets and Falling Shadows of Random Sets" Beijing Normal Univ. Press 1985

13 P. Z. Wang, "Fuzzy Information and Decision" Pergamon 212-219, 1982

14 전영배, "FALLING SHADOWS APPLIED TO SUBALGEBRAS AND IDEALS OF BCK/BCI-ALGEBRAS" 호남수학회 34 (34): 135-144, 2012

15 J. Meng, "BCK-algebras" Kyungmoonsa Co. 1994

16 Y. Huang, "BCI-algebra" Science Press 2006

17 K. Iseki, "An introduction to the theory of BCK-algebras" 23 : 1-26, 1978

18 F. Smarandache, "A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability" American Reserch Press 1999