A note on strongly $\left( {C,\alpha } \right)$-ergodic semi-group of operators

The left (right) distributivity of semi-t-operators over 2-uninorms

Recently the distributive equations involving various classes of aggregation operators have aroused widespread attention because of their importance in the theoretic and applied communities of fuzzy set theory. 2-uninorms and semi-t-operators are two special classes of aggregation operators and have been proved to be useful in many areas such as fuzzy decision making, approximate reasoning and ...

A Note on Strongly Quotient Graphs

A Note on Fuzzy Semi-irresolute and Strongly Irresolute Functions

In this paper, we have some characterizations of fuzzy semi-irresolute and strongly irresolute functions.

A Note on Perturbation Theory for Semi-groups of Operators

1. I. S. Cohen, Commutative rings with restricted minimum conditions, Duke Math. J. 17 (1950), 27-41. 2. S. MacLane and O. F. G. Schilling, Infinite number fields with Noether ideal theories, Amer. J. Math. 61 (1939), 771-782. 3. N. Nakano, Idealtheorie in einem speziellen unendlichen algebraischen Zahlkorper, J. Sei. Hiroshima Univ. 16(1953), 425-439. 4. O. Zariski and P. Samuel, Commutative a...

A Note on Ergodic Theory

The purpose of this paper is to present solutions to certain problems in ergodic theory suggested by Einar Hille in his book Functional analysis and semi-groups [l].1 Let 7X£) (£>0) be a semi-group of linear bounded transformations on a complex Banach space X to itself. Following Hille, we say that T(£) is ergodic at infinity (or at 0) if it has a generalized limit of some sort when £—>=o (or 0...