Addition and series of fuzzy sets. (English) Zbl 0879.46050
Summary: Addition and series of fuzzy sets are considered. The answer when the sum of \(\alpha\)-cuts is equal to the \(\alpha\)-cut of sum is given.
MSC:
| 46S40 | Fuzzy functional analysis |
References:
| [1] | Nguyen, H. T., A note on the extension principle for fuzzy sets, J. Math. Anal. Appl., 64, 369-380 (1978) · Zbl 0377.04004 |
| [2] | Puri, M.; Ralescu, D., Convergence theorem for fuzzy martingales, J. Math. Anal. Appl., 160, 107-122 (1991) · Zbl 0737.60005 |
| [3] | Ralescu, D., Radon Nikodým theorem for fuzzy set valued measures, (Jones, A.; etal., Fuzz y Sets Theory and Application (1986), Reidel: Reidel Dordrecht), 39-50 · Zbl 0596.60007 |
| [4] | Stojaković, M., Fuzzy valued measure, Fuzzy Sets and St stems, 65, 95-104 (1994) · Zbl 0844.28012 |
| [5] | Zadeh, L. A., The concept of linguistic variable and its application to approximate reasoning, Inform. Sci., 8, 301-357 (1975) · Zbl 0404.68074 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
