Hyper Lattice Implication Algebras and Some of Their Characterizations

Shokoofeh GHORBANİ [1]


In this paper, we introduce the concept of hyper lattice implication algebras which is established by combining the concept of hyper lattices and hyper implication algebras. We give some important examples of hyper lattice implication algebras and obtain some of their properties. Then, we characterize hyper lattice implication algebras in which 1 is an implication scalar element. We prove that the implication reduction of hyper lattice implication algebras is a regular commutative fuzzy implication algebra, if 1 is an implication scalar element. Finally, we define the notion of isomorphisms between two hyper lattice implication algebras and obtain all of the hyper lattice implication algebras of order 2.

Hyper lattice implication algebra, implication scalar element, fuzzy implication algebra, isomorphism
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Yazar: Shokoofeh GHORBANİ

Tarihler

Yayımlanma Tarihi : 1 Mayıs 2017

Bibtex @araştırma makalesi { cankujse344440, journal = {Cankaya University Journal of Science and Engineering}, issn = {}, eissn = {2564-7954}, address = {}, publisher = {Çankaya Üniversitesi}, year = {2017}, volume = {14}, pages = { - }, doi = {}, title = {Hyper Lattice Implication Algebras and Some of Their Characterizations}, key = {cite}, author = {Ghorbani̇, Shokoofeh} }
APA Ghorbani̇, S . (2017). Hyper Lattice Implication Algebras and Some of Their Characterizations . Cankaya University Journal of Science and Engineering , 14 (1) , . Retrieved from https://dergipark.org.tr/tr/pub/cankujse/issue/31470/344440
MLA Ghorbani̇, S . "Hyper Lattice Implication Algebras and Some of Their Characterizations" . Cankaya University Journal of Science and Engineering 14 (2017 ): <https://dergipark.org.tr/tr/pub/cankujse/issue/31470/344440>
Chicago Ghorbani̇, S . "Hyper Lattice Implication Algebras and Some of Their Characterizations". Cankaya University Journal of Science and Engineering 14 (2017 ):
RIS TY - JOUR T1 - Hyper Lattice Implication Algebras and Some of Their Characterizations AU - Shokoofeh Ghorbani̇ Y1 - 2017 PY - 2017 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - EP - VL - 14 IS - 1 SN - -2564-7954 M3 - UR - Y2 - 2020 ER -
EndNote %0 Cankaya University Journal of Science and Engineering Hyper Lattice Implication Algebras and Some of Their Characterizations %A Shokoofeh Ghorbani̇ %T Hyper Lattice Implication Algebras and Some of Their Characterizations %D 2017 %J Cankaya University Journal of Science and Engineering %P -2564-7954 %V 14 %N 1 %R %U
ISNAD Ghorbani̇, Shokoofeh . "Hyper Lattice Implication Algebras and Some of Their Characterizations". Cankaya University Journal of Science and Engineering 14 / 1 (Mayıs 2017): - .
AMA Ghorbani̇ S . Hyper Lattice Implication Algebras and Some of Their Characterizations. Cankaya University Journal of Science and Engineering. 2017; 14(1): -.
Vancouver Ghorbani̇ S . Hyper Lattice Implication Algebras and Some of Their Characterizations. Cankaya University Journal of Science and Engineering. 2017; 14(1): -.