Solutions of matrix equations with weak fuzzy equivalence relations
Само за регистроване кориснике
2023
Чланак у часопису (Објављена верзија)
Метаподаци
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In this paper, we are solving matrix equations where the operation on matrices might not be a standard composition, but it can be any convenient binary operation. We use fuzzy (lattice valued) techniques in which a particular fuzzy weak equivalence relation and its compatibility with the matrix operation plays the central role. This fuzzy weak equivalence relation is weakly reflexive, symmetric, transitive, and compatible with the matrix operation. We obtain approximate solutions of two main types of matrix equations. We also tackle the question of the uniqueness of solutions (which are unique up to the fuzzy weak equivalence relation). © 2023 Elsevier Inc.
Кључне речи:
Lattice valued / Linear equation / Matrix equations / Weak fuzzy equivalence relationИзвор:
Information Sciences, 2023, 629, 634-645Институција/група
Poljoprivredni fakultetTY - JOUR AU - Medina, Jesús AU - Stepanović, Vanja AU - Tepavčević, Andreja PY - 2023 UR - http://aspace.agrif.bg.ac.rs/handle/123456789/6299 AB - In this paper, we are solving matrix equations where the operation on matrices might not be a standard composition, but it can be any convenient binary operation. We use fuzzy (lattice valued) techniques in which a particular fuzzy weak equivalence relation and its compatibility with the matrix operation plays the central role. This fuzzy weak equivalence relation is weakly reflexive, symmetric, transitive, and compatible with the matrix operation. We obtain approximate solutions of two main types of matrix equations. We also tackle the question of the uniqueness of solutions (which are unique up to the fuzzy weak equivalence relation). © 2023 Elsevier Inc. T2 - Information Sciences T2 - Information Sciences T1 - Solutions of matrix equations with weak fuzzy equivalence relations EP - 645 SP - 634 VL - 629 DO - 10.1016/j.ins.2023.01.145 ER -
@article{ author = "Medina, Jesús and Stepanović, Vanja and Tepavčević, Andreja", year = "2023", abstract = "In this paper, we are solving matrix equations where the operation on matrices might not be a standard composition, but it can be any convenient binary operation. We use fuzzy (lattice valued) techniques in which a particular fuzzy weak equivalence relation and its compatibility with the matrix operation plays the central role. This fuzzy weak equivalence relation is weakly reflexive, symmetric, transitive, and compatible with the matrix operation. We obtain approximate solutions of two main types of matrix equations. We also tackle the question of the uniqueness of solutions (which are unique up to the fuzzy weak equivalence relation). © 2023 Elsevier Inc.", journal = "Information Sciences, Information Sciences", title = "Solutions of matrix equations with weak fuzzy equivalence relations", pages = "645-634", volume = "629", doi = "10.1016/j.ins.2023.01.145" }
Medina, J., Stepanović, V.,& Tepavčević, A.. (2023). Solutions of matrix equations with weak fuzzy equivalence relations. in Information Sciences, 629, 634-645. https://doi.org/10.1016/j.ins.2023.01.145
Medina J, Stepanović V, Tepavčević A. Solutions of matrix equations with weak fuzzy equivalence relations. in Information Sciences. 2023;629:634-645. doi:10.1016/j.ins.2023.01.145 .
Medina, Jesús, Stepanović, Vanja, Tepavčević, Andreja, "Solutions of matrix equations with weak fuzzy equivalence relations" in Information Sciences, 629 (2023):634-645, https://doi.org/10.1016/j.ins.2023.01.145 . .