On the Construction of Multipolar Intuitionistic Fuzzy Positive Implicative Ideals in BCK-Algebras

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Published: Aug 16, 2026
DOI: https://doi.org/10.56741/bst.v5i02.2424
Keywords:
BCK-Algebras, Fuzzy Set, Intuitionistic Fuzzy, Multipolar Fuzzy, Positive Implicative Ideals

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Dian Nan Brylliant
Universitas Muhammadiyah Maumere
Syafitri Hidayahningrum
Gorontalo State University
Wahyuningsih
Universitas Muhammadiyah Maumere
Wafiq Sulistiawati R. Syarif Maulana
Universitas Muhammadiyah Maumere

Abstract

This research focuses on the generalization of the concept of multipolar fuzzy intuitionistic ideal in BCK algebra and bi-polar fuzzy intuitionistic positive implicative ideal in BCK algebra into multipolar fuzzy intuitionistic positive implicative ideal in BCK algebra. In this research, we define the concept of multipolar fuzzy intuitionistic positive implicative ideal in BCK algebra, and given the examples. In addition, we examine the conditions that must be met by a multipolar fuzzy intuitionistic ideal in BCK algebra to become a multipolar fuzzy intuitionistic positive implicative ideal in BCK algebra. One of the theorems produced in this research is that a multipolar intuitionistic fuzzy (P ̂,Q ̂) of X is a multipolar intuitionistic fuzzy implicative ideal (P ̂,Q ̂) of X if and only if (P ̂,Q ̂) is a multipolar intuitionistic fuzzy ideal of X and P ̂(x*y)≥P ̂((x*y)*y) and Q ̂(x*y)≤Q ̂((x*y)*y) apply, for all x,y,z∈X, where X is a BCK algebra.

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How to Cite
Brylliant, D. N., Hidayahningrum, S., Wahyuningsih, & Syarif Maulana, W. S. R. (2026). On the Construction of Multipolar Intuitionistic Fuzzy Positive Implicative Ideals in BCK-Algebras. Bincang Sains Dan Teknologi, 5(02), 95–104. https://doi.org/10.56741/bst.v5i02.2424
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Vol. 5 No. 02 (2026): Bincang Sains dan Teknologi
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This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author Biographies

Dian Nan Brylliant, Universitas Muhammadiyah Maumere

was born in Bareng on December 03, 1994. She is a lecturer in the Mathematics Education study program at the Universitas Muhammadiyah Maumere, Indonesia. She is currently focused on studying Mathematics Modelling, Fuzzy, and its intuitionistic. She earned her S.Mat degree from UIN Maulana Malik Ibrahim Malang in 2017 and her M.Mat degree from University of Brawijaya in 2022. (email: Ianbrylliant@gmail.com).

Syafitri Hidayahningrum, Gorontalo State University

was born in Gorontalo on December 31, 1996. She is a lecturer in the Mathematics study program at Gorontalo State University, Indonesia. She is currently focused on studying fuzzy logic and its intuitionistic. She earned her S.Mat degree from UIN Maulana Malik Ibrahim Malang in 2017 and her M.Mat degree from the University of Brawijaya in 2022. (email: syaf_murgnin.12@ung.ac.id).

Wahyuningsih, Universitas Muhammadiyah Maumere

was born in Bima, West Nusa Tenggara, on 19 June 1979. She obtained a Bachelor of Science (S.Sc.) degree from Sanata Dharma University, Yogyakarta, in 2006, and a Master of Mathematics Education (M.Pd.) degree from the University of Muhammadiyah Malang in 2017. She is pursuing doctoral studies in Education at the University of Muhammadiyah Malang. Currently, she is a faculty member at the Universitas Muhammadiyah Maumere, Indonesia.  (email: wahyuningsih.ikipmu@gmail.com).

Wafiq Sulistiawati R. Syarif Maulana, Universitas Muhammadiyah Maumere

was born in Maumere, Indonesia, on June 1, 2005. She is currently an undergraduate student in the Mathematics Education Study Program at Universitas Muhammadiyah Maumere, Indonesia. (email: sulistiawatirsyarif.01062005@gmail.com).

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Received 2026-06-11
Accepted 2026-08-15
Published 2026-08-16

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