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Arithmetical Operations Of Exponential Fuzzy Numbers Using The Function Principle

Author

Listed:
  • SHAN-HUO CHEN

    (Department of Information Management, Ching Yun University, 229, Chien-Hsin Rd., Jung-Li 320, Taiwan, ROC)

  • CHIEN-CHUNG WANG

    (Department of Statistics, National Defense Management College, National Defense University, 150, Ming-An St., Chun-Ho 235, Taiwan, ROC)

  • SHU MAN CHANG

    (Department of Shipping Business Management, China College of Marine Technology and Commerce, Taipei, 111, Taiwan, ROC)

Abstract

Fuzzy numbers with exponential membership function are quite common in real world cases. In this paper, we applied Graded Mean Integration Representation Method to compute the representation of exponential fuzzy numbers. Then the Function Principle is applied to generate the arithmetical operations of exponential fuzzy numbers. By the way, some properties of operation under the Function Principle are proved. Finally, an application of the lifetime of the lamps of projectors is proposed.

Suggested Citation

  • Shan-Huo Chen & Chien-Chung Wang & Shu Man Chang, 2006. "Arithmetical Operations Of Exponential Fuzzy Numbers Using The Function Principle," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 2(02), pages 131-138.
    • Handle: RePEc:wsi:nmncxx:v:02:y:2006:i:02:n:s1793005706000385
    DOI: 10.1142/S1793005706000385
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