The effect of environmental and social value objectives on optimal design in industrial energy symbiosis: A multi-objective approach

•Discusses the importance of considering social value objectives in energy symbiosis.•Develops a multi-objective mathematical model considering all sustainability pillars.•Considers the effects of demand fluctuations on optimal symbioses in four seasons.•Shows that economic, environmental, and social are conflicting objectives.•Considers social value objectives to increase the number of optimal symbioses.