A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces
Copyright policy )A Study on Fuzzy Order Bounded Linear Operators in Fuzzy Riesz Spaces
This paper aims to study fuzzy order bounded linear operators between two fuzzy Riesz spaces. Two lattice operations are defined to make the set of all bounded linear operators as a fuzzy Riesz space when the codomain is fuzzy Dedekind complete. As a special case, separation property in fuzzy order dual is studied. Furthermore, we studied fuzzy norms compatible with fuzzy ordering (fuzzy norm Riesz space) and discussed the relation between the fuzzy order dual and topological dual of a locally convex solid fuzzy Riesz space.
- King Abdulaziz University Saudi Arabia
- Polytechnic University of Cartagena Spain
- University of Management and Technology Pakistan
- University of Management and Technology United States
- Quaid-i-Azam University Pakistan
Statistics and Probability, Artificial intelligence, fuzzy norm riesz spaces, fuzzy order bounded operators, Social Sciences, Management Science and Operations Research, Mathematical analysis, Decision Sciences, Bounded function, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, locally convex-solid fuzzy riesz spaces, M. Riesz extension theorem, Fuzzy number, fuzzy order dual spaces, Application of Soft Set Theory in Decision Making, Statistical Convergence in Approximation Theory and Functional Analysis, Pure mathematics, Discrete mathematics, Fuzzy subalgebra, Computer science, Fuzzy logic, Riesz representation theorem, Fuzzy Sets, Physical Sciences, Fuzzy set, Geometry and Topology, Fuzzy Metric Spaces, Mathematics
Statistics and Probability, Artificial intelligence, fuzzy norm riesz spaces, fuzzy order bounded operators, Social Sciences, Management Science and Operations Research, Mathematical analysis, Decision Sciences, Bounded function, Fixed Point Theorems in Metric Spaces, QA1-939, FOS: Mathematics, locally convex-solid fuzzy riesz spaces, M. Riesz extension theorem, Fuzzy number, fuzzy order dual spaces, Application of Soft Set Theory in Decision Making, Statistical Convergence in Approximation Theory and Functional Analysis, Pure mathematics, Discrete mathematics, Fuzzy subalgebra, Computer science, Fuzzy logic, Riesz representation theorem, Fuzzy Sets, Physical Sciences, Fuzzy set, Geometry and Topology, Fuzzy Metric Spaces, Mathematics
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