THE GENERALIZED TRAPEZOIDAL FUZZY SETS

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Published: May 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.2.253
Keywords:
generalized trapezoidal fuzzy set, four operations, Zadeh's extension principle, generalized triangular fuzzy set
Mathematics Subject Classification (2020):
Primary 47N30

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BongJu Lee
Korea Institute for Curriculum and Evaluation, Seoul 100-784, Republic of Korea
Yong Sik Yun
Department of Mathematics and Research Institute for Basic Sciences, Jeju National University

Abstract





We would like to generalize about trapezoidal fuzzy set and to calculate four operations based on the Zadeh's extension principle for two generalized trapezoidal fuzzy sets. And we roll up triangular fuzzy numbers and generalized triangular fuzzy sets into it. Since triangular fuzzy numbers and generalized triangular fuzzy sets are generalized trapezoidal fuzzy sets, we need no more the separate painstaking calculations of addition, subtraction, multiplication and division for two such kinds once the operations are done for generalized trapezoidal fuzzy sets.





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Article Details

Issue
Vol. 24 No. 2 (2011)
Section
Articles