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Fuzzy Octonion Numbers and Fuzzy Hypercomplex Numbers

open access: yes2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019
In this work we contextualize the development of the analytical theory of fuzzy octonion numbers and present an approach inspired by the Cayley-Dickson construction which allows us to construct fuzzy hypercomplex numbers and investigate their properties.
Ricardo Augusto Watanabe   +2 more
openaire   +2 more sources

FUZZY ORDERING OF FUZZY NUMBERS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2004
In this paper we are interested in determining the fuzzy ordering, from smallest to largest, of any finite set of fuzzy numbers. We investigate two methods: (1) using a weak fuzzy ordering; and (2) using a strong fuzzy ordering. Employing a strong fuzzy ordering we show that any finite set of fuzzy numbers has a unique ranking from smallest to largest.
James J. Buckley, Esfandiar Eslami
openaire   +1 more source

Fuzzy ordering of fuzzy numbers

2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542), 2005
Fuzzy numbers cannot be easily ordered as ordinary real numbers. Several proposals have addressed this problem, each with some drawbacks and limitations. This paper renounces to the idea of finding a universal ordering method for fuzzy numbers and suggests to compute the degree by which an arbitrary permutation of fuzzy numbers is ordered.
Gerardo Canfora, Luigi Troiano
openaire   +1 more source

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