바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

Article Contents

Prev Next
e-Submission

Vol.19 No.2

Citation Share

ON n-FOLD IMPLICATIVE VAGUE FILTERS IN BE-ALGEBRAS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.2, pp.127-136
https://doi.org/10.7468/jksmeb.2012.19.2.127
Park, Sang-Tae
Ahn, Sun-Shin
Park,, S. , & Ahn,, S. (2012). ON n-FOLD IMPLICATIVE VAGUE FILTERS IN BE-ALGEBRAS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 19(2), 127-136, https://doi.org/10.7468/jksmeb.2012.19.2.127

Abstract

In this paper, we introduce the notion of an implicative vague filter in BE-algebras, and investigate some properties of them. Also we give conditions for a vague set to be an implicative vague filter, and we characterize implicative vague filters in BE-algebras. We define the notion of <TEX>$n$</TEX>-fold implicative vague filters in BE-algebras and we give characterizations of <TEX>$n$</TEX>-fold implicative vague filters and <TEX>$n$</TEX>-fold implicative BE-algebras.

keywords
BE-algebra, vague set, filter, (n-fold) implicative filter

Reference

1.

(2008). Vague quick ideals of BCK/BCI-algebras. Honam Math. J., 30, 65-74. 10.5831/HMJ.2008.30.1.065.

2.

(2011). On Vague filters in BE-algebras. Commun. Korean Math. Soc., 26, 417-425. 10.4134/CKMS.2011.26.3.417.

3.

(2006). Vague groups. Internat. J. Comput. Cognition, 4, 20-23.

4.

(1993). Vague setsd. IEEE Transactions on Systems, Man and Cybernetics, 23, 610-614. 10.1109/21.229476.

5.

(1978). An introduction to theory of BCK-algebras. Math. Jpn., 23, 1-26.

6.

(1980). On BCI-algebras. Math. Seminar Notes, 8, 125-130.

7.

(2007). Vague ideals of subtraction algebra. Int. Math. Forum., 2, 2919-2926.

8.

(2007). On BE-algebras. Sci. Math. Jpn., 66, 113-116.

9.

(2008). Vague BCK/BCI-algebras. J. Korean Soc. Math. Educ. Ser. B: Pure Appl. Math., 15, 297-308.

10.

BCK-algebras.

11.

(2008). Vague deductive systems of subtraction algebras. J. Appl. Math. Informatics, 26, 427-436.

12.

(2008). Fuzzy sets. Inform. Control, 56, 338-353.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

e-Submission OA Policy