t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras

In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify the links between them and investigate their properties. Finally, we consider them under intersection, cartesian product and homomorphisms(image and pre image) and we study related properties.

Keywords:

Algebra and orders , theory of fuzzy sets , Norms , products and intersections , homomorphisms

Authors

Rasul Rasuli

Department of Mathematics, Payame Noor University, Tehran, Iran.

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https://civilica.com/doc/1426394

شناسه ملی سند علمی:

JR_MACA-4-2_003

تاریخ نمایه سازی: 23 فروردین 1401

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Rasuli, Rasul,1401,t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras,https://civilica.com/doc/1426394

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Type of center: پیام نور

Paper count: 90,482

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