Title: Uncertain multi-objective student project assignment problem by fuzzy programming technique

Authors: Sunil B. Bhoi; Jayesh M. Dhodiya

Addresses: College of Engineering, Bharati Vidyapeeth (Deemed to be University), Pune, MH, India ' Department of Mathematics, Sardar Vallabhbhai National Institute of Technoloy, Surat, Gujarat, India

Abstract: This paper presents mathematical 0-1 integer programming model of uncertain multi-objective student project assignment problem based on uncertain preferences of students and supervisor over projects or pairs of student and project. To develop this uncertain model, preferences are computed based on supervisor feedback and student result analysis, which are uncertain in nature. Two ranking criteria are utilised to deal with these uncertain preferences, which are expected value and optimistic value. Thereafter, uncertainty theory is applied to these uncertain model to transform uncertain models into deterministic form. Fuzzy programming technique with linear and exponential membership functions is utilised to solve deterministic multi-objective models and results are obtained using LINGO software. To check the strength and efficiency of proposed models, numerical data-based case is studied and results are discussed.

Keywords: student project assignment; multi-objective optimisation; 0-1 integer programming; uncertain programming; fuzzy programming technique.

DOI: 10.1504/IJMOR.2025.145757

International Journal of Mathematics in Operational Research, 2025 Vol.30 No.3, pp.329 - 349

Received: 09 Aug 2023
Accepted: 15 Aug 2023
Published online: 23 Apr 2025 *

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