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      KCI등재

      Cubic bipolar structures of $BCC$-ideal on $BCC$-algebras

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      https://www.riss.kr/link?id=A107266804

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      다국어 초록 (Multilingual Abstract) kakao i 다국어 번역

      In this paper, we introduce the concept of cubic bipolar $BCC$-ideal and investigate several properties. Also, we give relations between cubic bipolar $BCC$-ideal and cubic bipolar $BCC$-ideal. The image and the pre-image of cubic bipolar $BCC$-ideal in $BCC$-algebras are defined and how the image and the pre-image of cubic bipolar $BCC$-ideal in $BCC$-algebras become cubic bipolar $BCC$-ideal are studied. Moreover, the Cartesian product of cubic bipolar $BCC$-ideal in Cartesian product $BCC$-algebras is given.
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      In this paper, we introduce the concept of cubic bipolar $BCC$-ideal and investigate several properties. Also, we give relations between cubic bipolar $BCC$-ideal and cubic bipolar $BCC$-ideal. The image and the pre-image of cubic bipolar $BCC$-ideal ...

      In this paper, we introduce the concept of cubic bipolar $BCC$-ideal and investigate several properties. Also, we give relations between cubic bipolar $BCC$-ideal and cubic bipolar $BCC$-ideal. The image and the pre-image of cubic bipolar $BCC$-ideal in $BCC$-algebras are defined and how the image and the pre-image of cubic bipolar $BCC$-ideal in $BCC$-algebras become cubic bipolar $BCC$-ideal are studied. Moreover, the Cartesian product of cubic bipolar $BCC$-ideal in Cartesian product $BCC$-algebras is given.

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      참고문헌 (Reference)

      1 M. Riaz, "bipolar fuzzy ordered weighted geometric aggregation operators and their application using internal and external cubic bipolar fuzzy data" 38-87, 2019

      2 T. K. Mondal, "Topology of interval-valued fuzzy sets" 30 (30): 133-189, 1999

      3 Y. Komori, "The class of BCC-algebras is not a variety" 29 : 391-394, 1984

      4 W. A. Dudek, "On proper BCC-algebras" 20 : 137-150, 1992

      5 W. A. Dudek, "On ideals and congruences in BCC-algebras" 48 (48): 21-29, 1998

      6 K. Iseki, "On BCI-algebras" 8 (8): 125-130, 1980

      7 W. A. Dudek, "Normalizations of fuzzy BCC-ideals in BCC-algebras" 3 : 17-24, 1999

      8 K. Atanassov, "Intuitionistic fuzzy sets" 20 : 87-96, 1986

      9 K. Iseki, "Ideal theory of BCK-algebras" 21 (21): 351-366, 1976

      10 L. A. Zadeh, "Fuzzy sets" 8 : 338-353, 1965

      1 M. Riaz, "bipolar fuzzy ordered weighted geometric aggregation operators and their application using internal and external cubic bipolar fuzzy data" 38-87, 2019

      2 T. K. Mondal, "Topology of interval-valued fuzzy sets" 30 (30): 133-189, 1999

      3 Y. Komori, "The class of BCC-algebras is not a variety" 29 : 391-394, 1984

      4 W. A. Dudek, "On proper BCC-algebras" 20 : 137-150, 1992

      5 W. A. Dudek, "On ideals and congruences in BCC-algebras" 48 (48): 21-29, 1998

      6 K. Iseki, "On BCI-algebras" 8 (8): 125-130, 1980

      7 W. A. Dudek, "Normalizations of fuzzy BCC-ideals in BCC-algebras" 3 : 17-24, 1999

      8 K. Atanassov, "Intuitionistic fuzzy sets" 20 : 87-96, 1986

      9 K. Iseki, "Ideal theory of BCK-algebras" 21 (21): 351-366, 1976

      10 L. A. Zadeh, "Fuzzy sets" 8 : 338-353, 1965

      11 X. Ougen, "Fuzzy BCK-algebra" 36 (36): 935-942, 1991

      12 W. A. Dudek, "Fuzzy BCC-ideals in BCC-algebras" 10 : 21-30, 1999

      13 Y. B. Jun, "Cubic subalgebras and ideals of BCK/BCI-algebras" 44 (44): 239-250, 2010

      14 Y. B. Jun, "Cubic structures applied to ideals of BCI-algebras" 62 (62): 3334-3342, 2011

      15 Y. B. Jun, "Cubic sets" 4 (4): 83-98, 2012

      16 Young Bae Jun, "Cubic q-ideals of BCI-algebras" 기초자연과학연구소 1 (1): 25-34, 2011

      17 T. Senapati, "Cubic intuitionistic structures applied to ideals of BCI-algebras" 25 (25): 213-232, 2019

      18 M. Riaz, "Cubic bipolar fuzzy set with application to multi criteria group decision making"

      19 T. Senapati, "Cubic Intuitionistic Implicative Ideals of BCK-Algebras Proceedings of the National Academy of Sciences" 2020

      20 K. M. Lee, "Comparison of interval-valued fuzzy sets, intuitionistic fuzzy sets, and bipolar-valued fuzzy sets" 14 (14): 125-129, 2004

      21 K. M. Lee, "Bipolar-valued fuzzy sets and their operations" 307-312, 2000

      22 K. J. Lee, "Bipolar fuzzy subalgerbas and bipolar fuzzy ideals of BCK/BCI- algerbas"

      23 A. Wronski, "BCK-algebras do not form a variety" 28 (28): 211-213, 1983

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

      25 W. A. Dudek, "A new characterization of ideals in BCC-algebras" 29 : 139-145, 1999

      26 M. B. Gorzalczany, "A method of inference in approximate reasoning based on interval-valued fuzzy sets" 21 : 1-17, 1987

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      2022 평가예정 재인증평가 신청대상 (재인증)
      2019-01-01 평가 등재학술지 선정 (계속평가) KCI등재
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