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On fuzzy ordered semigroups
Authors: N. Kehayopulu, M. Tsingelis
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Abstract
There are two equivalent definitions of a fuzzy right ideal, fuzzy left ideal, fuzzy bi-ideal or fuzzy quasi-ideal f of an ordered semigroup (or a semigroup) S in the bibliography. The first one is based on the fuzzy subset f itself, the other on the multiplication of fuzzy sets and the greatest fuzzy subset of S. Investigations in the existing bibliography are based on the first definition. The present paper serves as an example to show that using the second definition the proofs of the results can be simplified, drastically in some cases, using only the definitions themselves.Fulltext
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Contents
- The varieties of Bol-Moufang quasigroups defined by a single operation
- On WIP loops
- Parametrization of actions of a subgroup of the modular group
- A Zariski topology for k-semirings
- Some enumerational results relating the numbers of latin and frequency squares of order n
- Some results on E-inversive semigroups
- On fuzzy ordered semigroups
- Varieties of rectangular quasigroups
- Essential operations of clones
- The spectrum of a variety of modular groupoids
- Right k-weakly regular hemirings
- Congruences of ternary semigroups
- Quotient hyper residuated lattices
