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The sufficient and necessary condition for chance distribution of bifuzzy variable

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Abstract

Fuzzy sets and fuzzy variables have undergone several different extensions overtime. One of them involved including a “bifuzzy variable” as a fuzzy element for describing the more complete systems. The properties of bifuzzy variable were obtained by introducing the concept of “chance distribution”. In this paper, we will present a sufficient and necessary condition for chance distribution of bifuzzy variable. Here we present a constructive proof base on credibility theory for the sufficient part.

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Acknowledgments

This work were supported by the National Natural Science Foundation of China Grant (No. 60874067) and China Postdoctoral Science Foundation (No. 20090450024). The authors would like to thank the editor and the referees for their valuable suggestions and comments.

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Authors and Affiliations

  1. School of Economics and Management, Beihang University, Beijing, 100191, China

    Zhongfeng Qin

  2. The State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, 100044, China

    Xiang Li

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  1. Zhongfeng Qin
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  2. Xiang Li
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Correspondence to Zhongfeng Qin.

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Qin, Z., Li, X. The sufficient and necessary condition for chance distribution of bifuzzy variable. Soft Comput 15, 595–599 (2011). https://doi.org/10.1007/s00500-010-0567-1

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  • DOI: https://doi.org/10.1007/s00500-010-0567-1

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