Abstract
This paper is a kind of continuation of the paper by G. Deschrijver ‘Uninorms which are neither conjunctive nor disjunctive in interval-valued fuzzy set theory’, which was published in Information Sciences in 2013. In that paper he constructed uninorms whose neutral element is arbitrary of the type \({\mathbf e}=(e,e)\) and annihilator, \(\mathbf {a}\), is arbitrary point that is incomparable with \(\mathbf {e}\). In the present paper we intend to show what are all possibilities of the position of the pair \((\mathbf {e},\mathbf {a})\).
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Acknowledgments
The work of Martin Kalina has been supported from the Science and Technology Assistance Agency under contract No. APVV-14-0013, and from the VEGA grant agency, grant number 2/0069/16.
Pavol Král has been supported from the project VEGA 1/0647/14.
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Kalina, M., Král, P. (2016). Uninorms on Interval-Valued Fuzzy Sets. In: Carvalho, J., Lesot, MJ., Kaymak, U., Vieira, S., Bouchon-Meunier, B., Yager, R. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2016. Communications in Computer and Information Science, vol 611. Springer, Cham. https://doi.org/10.1007/978-3-319-40581-0_42
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