Discrete-time data-driven disturbance-observer control based on fuzzy rules emulating networks

Treesatayapun, Chidentree; Muñoz‐Vázquez, Aldo Jonathan

doi:10.1016/j.jocs.2021.101426

Cited by 4 publications

(1 citation statement)

References 39 publications

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“…Recently, Tadesse et al [7] described a geometrical approach to handle the fully FLLP having non-negative decision variables. Further, some other significant applications of fuzzy theory can be found in studies of [12,38,46].…”

Section: Literature Review 21 Fuzzy Lppmentioning

confidence: 99%

Developing solution algorithm for LR-type fully interval-valued intuitionistic fuzzy linear programming problems using lexicographic-ranking method

Malik¹,

Gupta²

2022

Preprint

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In this article, a new concept of -type interval-valued intuitionistic fuzzy numbers ( -type IV-IFN) has been introduced. The theory has also been enriched by demonstrating diagrammatic representations of -type IVIFNs and establishing arithmetic operations among these fuzzy numbers. The total order properties of lexicographic criteria have been used for ranking -type IVIFNs. Further, a linear programming problem having both equality as well as inequality type constraints with all the parameters as -type IVIFNs and unrestricted decision variables has been formulated. An algorithm to find a unique optimal solution to the problem using the lexicographic ranking method has been developed. In the proposed methodology, the given linear programming problem is converted to an equivalent mixed 0 -1 lexicographic non-linear programming problem. Various theorems have been proved to show the equivalence of the proposed problem and its different constructions. The model formulation, algorithm and discussed results have not only developed a new idea but also generalized various well-known related works existing in the literature. A numerical problem has also been exemplified to show the steps involved in the approach. Finally, a practical application in production planning is framed, solved and analyzed to establish the applicability of the study.

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