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On Homomorphisms of Fuzzy Groups

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Abstract

Clarification is suggested for the early notion of homomorphisms of fuzzy groups. Conditions are considered for fulfilment of various properties of homomorphisms of ordinary groups as well as properties specific to systems with a fuzzy operation. Correctness is discussed of the introduced notion of preservation of a fuzzy operation.

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References

  1. Dobritsa V. P. and Yakh''yaeva G. È., “On groups with fuzzy operations,” Vychislit. Sistemy, no. 165, 127–138 (2000).

  2. Yakh''yaeva G. È., “Isomorphisms of fuzzy semigroups,” Vestnik AGU Ser. Fiz.-Mat. Nauk, no. 1, 90–98 (2000).

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Authors and Affiliations

  1. Abai Almaty State University, Kazakhstan

    V. P. Dobritsa & G. E. Yakh''yaeva

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  1. V. P. Dobritsa
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  2. G. E. Yakh''yaeva
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Dobritsa, V.P., Yakh''yaeva, G.E. On Homomorphisms of Fuzzy Groups. Siberian Mathematical Journal 43, 47–51 (2001). https://doi.org/10.1023/A:1013868420091

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  • DOI: https://doi.org/10.1023/A:1013868420091

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