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Fuzzy Information and Engineering 2010 pp 75–84Cite as

(s,t]-Intuitionistic Convex Fuzzy Sets

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 78))

Abstract

Based on the concept of cut sets on the intuitionistic fuzzy sets [1] and the neighborhood relations between a fuzzy point and an intuitionistic fuzzy set [2], we define 16 kinds of (α,β)-intuitionistic convex fuzzy sets for α,β ∈ { ∈ ,q, ∈ ∧ q, ∈ ∨ q }, and the relationships between them are investigated. According to the above discussion, the (s,t]-intuitionistic convex fuzzy set is derived. Lastly the results obtained for operations properties of the (s,t]-intuitionistic convex fuzzy sets.

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Author information

Authors and Affiliations

  1. College of Information Engineering, Dalian University, Dalian, 116622, China

    Zhang Cheng, Xiao Panzi, Wang Sen & Liu Xiaozhen

Authors
  1. Zhang Cheng
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  2. Xiao Panzi
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  3. Wang Sen
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  4. Liu Xiaozhen
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Editor information

Editors and Affiliations

  1. School of Mathematics and Information Science Guangzhou Higher Education Mega Center , Guangzhou University, 230Wai Huan Xi Road, ZIP 510006, Guangdong, China

    Bing-yuan Cao

  2. Shaanxi Normal University, China

    Guo-jun Wang

  3. Institute of Mathematics and Systems Science, Liaoning Technical University , 123000, China

    Si-zong Guo

  4. School of Science, Jimei University , 361021, Xiamen, Fujian, China

    Shui-li Chen

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© 2010 Springer-Verlag Berlin Heidelberg

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Cheng, Z., Panzi, X., Sen, W., Xiaozhen, L. (2010). (s,t]-Intuitionistic Convex Fuzzy Sets. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-14880-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14879-8

  • Online ISBN: 978-3-642-14880-4

  • eBook Packages: EngineeringEngineering (R0)

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