True-False triangular norm and conorms and It’s Application
Publish place: 9th Iranian Joint Congress on Fuzzy and Intelligent Systems
Publish Year: 1400
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
FJCFIS09_067
تاریخ نمایه سازی: 10 اردیبهشت 1401
Abstract:
In this article, we introduced triangular norm T (briefly t-norm) and triangular co-norm S (briefly s-norm) of combination a fuzzy set and an interval-valued fuzzy set and proposed T-representable and S-representable of them. By using T-representable and S-representable, we suggested (T,S)-representable of true-false sets (TFS). We defined the TF implication, the residuated TF implication and considered property between residuated TF implication with Lukasiewicz t-norm and Hamming distance, Hausdorff distance, Chebyshev distance and Moore distance. Also, we defined the degree of similarity between two TFS and considered property between the degree of similarity with some type of distance. Later on, we extended the TOPSIS method based on TFS. Finally, we applied proposed the TOPSIS method solve the decision-making problem.
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Authors
M Takallo
Department of Mathematics, Shahid Beheshti University, Tehran, Iran,
Y.B Jun
Department of Mathematics Education, Gyeongsang National University, Jinju ۵۲۸۲۸, Korea,
R.A Borzooei
Department of Mathematics, Shahid Beheshti University, Tehran, Iran