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Fuzzy Octonion Numbers and Fuzzy Hypercomplex Numbers

2019 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, Estevão Esmi Laureano, Cibele Cristina Trinca Watanabe   +2 more
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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
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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
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Fuzzy Number Approximation

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1998
As the number of parameters involved in an economic model is often uncertain, we propose that it be estimated using fuzzy numbers. Since we move in an environment of uncertainty, it is logical to leave room for deviation in estimating membership functions.
Mariano Jiménez 0001, Juan Antonio Rivas   +1 more
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Fuzzy number fuzzy measures and fuzzy integrals. (I). Fuzzy integrals of functions with respect to fuzzy number fuzzy measures

Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Congxin Wu, Deli Zhang, Caimei Guo, Cong Wu 0001   +3 more
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Approximations of fuzzy numbers by step type fuzzy numbers

Fuzzy Sets and Systems, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guixiang Wang, Jing Li
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Inverse of a fuzzy matrix of fuzzy numbers

International Journal of Computer Mathematics, 2009
The aim of this paper is to extend the concept of inverse of a matrix with fuzzy numbers as its elements, which may be used to model uncertain and imprecise aspects of real-world problems. We pursue two main ideas based on employing real scenarios and arithmetic operators. In each case, exact and inexact strategies are provided.
Mehdi Dehghan 0002, Mehdi Ghatee, Behnam Hashemi   +2 more
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Extending the fuzzy database with fuzzy numbers

Information Sciences, 1984
The fuzzy relational database model originated by the authors permits fuzzy domain values from a discrete, finite universe. The model is extended here by demonstrating that fuzzy numbers may be employed as domain values without loss of consistency with respect to representation or the relational algebra.
Bill P. Buckles, Frederick E. Petry
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Ranking of fuzzy numbers by fuzzy mapping

International Journal of Computer Mathematics, 2011
In this work, the concepts of interval function, the mean value and α lower percentile of a fuzzy number are presented. Also, we defined a large family of fuzzy numbers. Then, we obtained a method to rank them. Herein, the approach proposed is relatively simple in terms of computational efforts and is efficient for ranking fuzzy numbers.
Babak Asady, M. Akbari, M. A. Keramati
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