Autors: Peeva, K. G., Zahariev, Z. V., ATANASOV I. I.
Title: Optimization of Linear Objective Function Under Max-product Fuzzy Relational Constraint
Keywords: Linear optimization, fuzzy relational equations

Abstract: This paper presents optimization problem with a linear objective function subject to constraint – fuzzy linear system of equations or fuzzy linear system of inequalities, with max-product composition. Methods that provide algorithm for computing the maximum solution and all minimal solutions, when the fuzzy linear system is consistent, are developed for constraint resolution. A software is developed in MATLAB and Java.

References

    Issue

    Proceedings of the 9th WSEAS International Conference on Fuzzy Systems (FS’08) - Advanced Topics on Fuzzy Systems, Book Series: Artificial Intelligence, pp. 132-137, 2008, Bulgaria, WSEAS, ISBN 978-960-6766-56-5

    Full text of the publication

    Цитирания (Citation/s):
    1. X-P Yang, D-H Yuan, B-Y Cao, Lexicographic optimal solution of the multi-objective programming problem subject to max-product fuzzy relation inequalities, Fuzzy Sets and Systems, 341 (2018) 92–112 - 2018 - в издания, индексирани в Scopus или Web of Science
    2. Abbasi Molai, A. Linear optimization with mixed fuzzy relation inequality constraints using the pseudo-t-norms and its application. Soft Computing 19, 3009–3027 (2015). https://doi.org/10.1007/s00500-014-1464-9 - 2015 - в издания, индексирани в Scopus или Web of Science
    3. Abbasi Molai A. A covering-based algorithm for resolution of linear programming problems with max-product bipolar fuzzy relation equation constraints. Journal of Mathematical Modeling. 2023 Dec 1;11(4):709-30. - 2023 - в издания, индексирани в Scopus или Web of Science
    4. Aliannezhadi, S., Abbasi Molai, A. A new algorithm for solving linear programming problems with bipolar fuzzy relation equation constraints. Iranian Journal of Numerical Analysis and Optimization, 2021; 11(2): 407-435. doi: 10.22067/ijnao.2021.67046.0 - 2021 - в издания, индексирани в Scopus или Web of Science

    Вид: публикация в международен форум