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Graded Intuitionistic Fuzzy Convexity with Application to Fuzzy Decision Making

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Advances in Information Technology and Industry Applications

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 136))

Abstract

A new concept of graded convex intuitionistic fuzzy set is proposed and treated in the paper. It is an extension of convex intuitionistic fuzzy set in which two real numbers are taken as the degree to which an intuitionistic fuzzy set is convex, strictly convex, we define the notions of graded convex intuitionistic fuzzy set and graded strictly convex intuitionistic fuzzy set based on t-norms. Some graded properties are also presented. Finally, we discuss the applications of graded convex intuitionistic fuzzy sets to intuitionistic fuzzy decision making.

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Authors and Affiliations

  1. School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, P.R. China

    Xiaodong Pan

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  1. Xiaodong Pan
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Correspondence to Xiaodong Pan .

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Editors and Affiliations

  1. Shenzhen University, Guangdong, 518060, China, People's Republic

    Dehuai Zeng

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Pan, X. (2012). Graded Intuitionistic Fuzzy Convexity with Application to Fuzzy Decision Making. In: Zeng, D. (eds) Advances in Information Technology and Industry Applications. Lecture Notes in Electrical Engineering, vol 136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-26001-8_90

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  • DOI: https://doi.org/10.1007/978-3-642-26001-8_90

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-26000-1

  • Online ISBN: 978-3-642-26001-8

  • eBook Packages: EngineeringEngineering (R0)

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