Further contributions to the study of finite fuzzy relations equations
Fuzzy Sets and Systems
Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Minimax algebra and applications
Fuzzy Sets and Systems
The smallest solution of max-min fuzzy equations
Fuzzy Sets and Systems
Residuation in fuzzy algebra and some applications
Fuzzy Sets and Systems
Unique solvability of max-min fuzzy equations and strong regularity of matrices over fuzzy algebra
Fuzzy Sets and Systems - Special issue: fuzzy relations, part 2
Fuzzy Sets and Systems - Special issue: fuzzy relations, part 2
Inclines of algebraic structures
Fuzzy Sets and Systems - Special issue on fuzzy relations, part 1
Linear independence in bottleneck algebras
Fuzzy Sets and Systems
Computing matrix period in max-min algebra
Discrete Applied Mathematics
Bideterminants, arborescences and extension of the matrix-tree theorem to semirings
Discrete Mathematics
A generalization of the all minors matrix tree theorem to semirings
Discrete Mathematics
Journal of the ACM (JACM)
On the convergence of a fuzzy matrix in the sense of triangular norms
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Measure Theory
A Comparison of Axiomatic Approaches to Qualitative Decision Making Using Possibility Theory
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
Algebraic analysis of fuzzy systems
Fuzzy Sets and Systems
Algebraic Markov decision processes
IJCAI'05 Proceedings of the 19th international joint conference on Artificial intelligence
Approximation by pseudo-linear operators
Fuzzy Sets and Systems
A survey on fuzzy relational equations, part I: classification and solvability
Fuzzy Optimization and Decision Making
Max-plus algebra-based wavelet transforms and their FPGA implementation for image coding
Information Sciences: an International Journal
Invertible matrices and semilinear spaces over commutative semirings
Information Sciences: an International Journal
On generalized fuzzy matrices with periods
Fuzzy Sets and Systems
Lattice-valued approach to closed sets under fuzzy relations: Theory and applications
Computers & Mathematics with Applications
Hi-index | 0.21 |
Besides the classical algebraic structures of groups, rings and fields which have long been the almost exclusive reference concepts used in mathematical modelling, other algebraic structures such as dioids and semirings have emerged in the last two or three decades in connection with modelling and solving a rich variety of non-classical problems, e.g. in Decision Analysis, Fuzzy Set Theory, Operations Research, Automatic Control and Mathematical Physics. The present paper aims at providing an overview of applications of dioid and semiring structures, stressing links with Fuzzy Sets and emphasizing linear algebraic problems (solving linear systems, computing eigenvalues and eigenvectors), non-classical path-finding problems (using algebras of endomorphisms) and connections between dioid structure and nonlinear analysis (in view of solving problems in Mathematical Physics).