CONTINUITY OF FUZZY TRANSITIVE ORDERED SETS

Authors

  • FATHEI M. ZEYADA Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
  • AHMED H. SOLIMAN Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
  • NABIL H. SAYED Department of Mathematics, Science of New Valley, Faculty of Education, AssiutUniversity, Egypt

Keywords:

Fuzzy set, Fuzzy order relation, Continuous lattices, Continuous posets

Abstract

In the present paper we introduce and study the continuity for a set equipped with a transitive fuzzy binary order relation which we call a f-toset. Our work is inspired by the slogan: "Order theory is the study of transitive relations" due to S. Abramsky and A.Jung [1].

Additional Files

Published

08/20/2012

Issue

Vol. 3 No. 2 (2012): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.