Parametric operations for two fuzzy numbers
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There are many results on the extended operations of twofuzzy numbers based on the Zadeh’s extension principle. For the calcu-lation, we have to use existing operations between two a-cuts. In thispaper, we define parametric operations between two a-cuts which are dif-ferent from the existing operations. But we have the same results as theextended operations of Zadeh’s principle.
Abstract
There are many results on the extended operations of twofuzzy numbers based on the Zadeh’s extension principle. For the calcu-lation, we have to use existing operations between two a-cuts. In thispaper, we define parametric operations between two a-cuts which are dif-ferent from the existing operations. But we have the same results as theextended operations of Zadeh’s principle.
참고문헌 (4)
- A. Kaufmann, "Introduction To Fuzzy Arithmetic, Theory and Appli- cations" (1985), Van Nostrand Reinhold Co.
- Yong Sik Yun, "THE GENERALIZED TRIANGULAR FUZZY SETS", 충청수학회지, 22(2), pp.161~170 (2009), 충청수학회
- L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning. I", Inform. Sci, 8, pp.199~249 (1975)
- H. J. Zimmermann, "Fuzzy Set Theory - and Its Applications" (1985), Kluwer-Nijhoff Publishing