16-17 May 2019 • Sofia, Bulgaria

Submission: 21 February 2019Notification: 11 March 2019Final Version: 1 April 2019

Issue:Trapezoidal/triangular intuitionistic fuzzy numbers versus interval-valued trapezoidal/triangular fuzzy numbers and applications to multicriteria decision making methods

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Title of paper: Trapezoidal/triangular intuitionistic fuzzy numbers versus interval-valued trapezoidal/triangular fuzzy numbers and applications to multicriteria decision making methods
Author(s):
Adrian Ban
Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania
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Delia Tuşe
Department of Mathematics and Informatics, University of Oradea, Universităţii 1, 410087 Oradea, Romania
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Presented at: 18th International Conference on Intuitionistic Fuzzy Sets, 10–11 May 2014, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 20, 2014, Number 2, pages 43—51
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Abstract: We establish relationships between the set of trapezoidal intuitionistic fuzzy numbers and the set of interval-valued trapezoidal fuzzy numbers and, on the other hand, between the set

of triangular intuitionistic fuzzy numbers and the set of triangular fuzzy numbers. Based on these main results of the paper, the methods or procedures elaborated for interval-valued trapezoidal or triangular fuzzy numbers as input data can be easy transferred to the case of trapezoidal or triangular intuitionistic fuzzy numbers as input data. We exemplify by transferring an interval-valued trapezoidal multicriteria decision making method in a trapezoidal intuitionistic fuzzy method.

Keywords: Trapezoidal/triangular fuzzy number, Trapezoidal/triangular intuitionistic fuzzy number, Interval-valued trapezoidal/triangular fuzzy number.
AMS Classification: 03E72, 62C86
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