• Title, Summary, Keyword: BCC

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HYPER BCC-ALGEBRAS

  • JUN, YOUNG BAE;ROH, EUN HWAN;HARIZAVI, HABIB
    • Honam Mathematical Journal
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    • v.28 no.1
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    • pp.57-67
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    • 2006
  • we apply the hyperstructures to BCC-algebras, and introduce the concept of a hyper BCC-algebra which is a generalization of a BCC-algebra, and investigates some related properties. We also introduce the notion of a hyper BCC-subalgebra, BCC-scalar element and a hyper BCC-ideal, and discuss related properties.

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SOFT IDEALS IN SOFT BCC-ALGEBRAS

  • Jun, Young-Bae;Lee, Kyoung-Ja
    • Honam Mathematical Journal
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    • v.31 no.3
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    • pp.335-349
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    • 2009
  • Soft set theory by Molodtsov is applied to ideals in BCC-algebras. The notion of soft BCC-ideals of soft BCC-algebras and idealistic soft BCC-algebras are introduced, and several examples are provided. Relations between a fuzzy BCC-ideal and an idealistic soft BCC-algebra are given, and the characterization of idealistic soft BCC-algebras is established.

Arborizing Vessels on Dermoscopy in Various Skin Diseases Other Than Basal Cell Carcinoma

  • Jin, Hyunju;Yang, Min-Young;Kim, Jeong-Min;Kim, Gun-Wook;Kim, Hoon-Soo;Ko, Hyun-Chang;Kim, Byung-Soo;Kim, Moon-Bum
    • Annals of dermatology
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    • v.29 no.3
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    • pp.288-294
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    • 2017
  • Background: Arborizing vessels (AVs) are dermoscopically defined as telangiectasias with distinct treelike branching, and are a characteristic feature of basal cell carcinoma (BCC). However, AVs are observed in various conditions other than BCC. Objective: The aim of this study was to investigate skin diseases showing AV and investigates dermoscopic differences between BCC and non-BCC. Methods: Dermoscopic images showing AV were prospectively collected and classified into BCC/non-BCC. Non-BCC was further classified into tumors (benign cystic, benign non-cystic, premalignant, and malignant) and non-tumors. We compared AV focusing, widest diameter of stem vessels, widest diameter ratio of stem vessel to first branch, and number of ramifications between groups. Results: Among 124 images, 54.0% were BCC and 46.0% were non-BCC. Non-BCC included epidermal cysts, hypertrophic scars/keloids, intradermal nevi, actinic keratoses, etc. The proportion of focused AV in BCC was significantly higher and the proportion of unfocused AV in BCC was lower than that of premalignant and malignant non-BCC. The widest diameter ratio of stem vessel to first branch was higher in non-BCC. Number of ramifications was significantly less in benign cystic non-BCC than BCC. Conclusion: Various skin diseases showed AV, so that diagnoses other than BCC should be considered. The findings in this study could help discriminate BCC from non-BCC.

TOPOLOGICAL PROPERTIES IN BCC-ALGEBRAS

  • Ahn, Sun-Shin;Kwon, Seok-Hwan
    • Communications of the Korean Mathematical Society
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    • v.23 no.2
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    • pp.169-178
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    • 2008
  • In this paper, we show how to associate certain topologies with special ideals of BCC-algebras on these BCC-algebras. We show that it is natural for BCC-algebras to be topological BCC-algebras with respect to theses topologies. Furthermore, we show how certain standard properties may arise. In addition we demonstrate that it is natural for these topologies to have many clopen sets and thus to be highly connected via the ideal theory of BCC-algebras.

POSITIVE IMPLICATIVE SMARANDACHE BCC-IDEALS IN SMARANDACHE BCC-ALGEBRAS

  • Jun, Young-Bae;Song, Seok-Zun;Kang, Kyung-Tae
    • Honam Mathematical Journal
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    • v.30 no.3
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    • pp.505-512
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    • 2008
  • The notion of positive implicative Smarandache BCC-ideals is introduced, and related properties are investigated. Relations between Smarandache BCC-ideals and positive implicative Smarandache BCC-ideals are discussed. The extension property of a positive implicative Smarandache BCC-ideals is given.

Quasi BCC-algebras

  • Jun, Young Bae;Song, Seok Zun
    • Kyungpook Mathematical Journal
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    • v.45 no.1
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    • pp.115-121
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    • 2005
  • Using the concept of fuzzy points, the notions of fuzzy point BCC-(sub) algebras, quasi BCC-(sub)algebras and quasi BCC-ideals are introduced. Some characterizations of them are discussed.

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IDEALS AND BRANCHES OF BCC-ALGEBRAS

  • Karamdin, Bushra;Bhatti, Shaban Ali
    • East Asian mathematical journal
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    • v.23 no.2
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    • pp.247-255
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    • 2007
  • Basic properties of branches of weak BCC-algebras and ideals of BCC-algebras containing only atoms are described.

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SOFT BCC-ALGEBRAS

  • Jun, Young-Bae;Lee, Kyoung-Ja;Ozturk, Mehmet Ali
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1293-1305
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    • 2009
  • Molodtsov [D. Molodtsov, Soft set theory First results, Comput. Math. Appl. 37 (1999) 19-31] introduced the concept of soft set as a new mathematical tool for dealing with uncertainties that is free from the difficulties that have troubled the usual theoretical approaches. In this paper we apply the notion of soft sets by Molodtsov to the theory of BCC-algebras. The notion of (trivial, whole) soft BCC-algebras and soft BCC-subalgebras are introduced, and several examples are provided. Relations between a fuzzy subalgebra and a soft BCC-algebra are given, and the characterization of soft BCC-algebras is established.

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