Document Type : Research Article
Authors
1
Department of Science and Humanities (Mathematics), University College of Engineering Nagercoil, Nagercoil-629004, Anna University, Tamil Nadu, India.
2
Department of Mathematics, St. Xavier's Catholic College of Engineering, Chunkankadai, Nagercoil-629003, Tamil Nadu, India.
3
Master of Computer Applications, St. Xavier's Catholic College of Engineering, Chunkankadai, Nagercoil-629003, Tamil Nadu, India. .
4
Cankiri Karatekin University, Faculty of Science, Department of Mathematics, 18100, Çankırı, Türkiye.
10.24200/sci.2026.67835.10830
Abstract
This study presents an innovative Multi-Criteria Decision-Making (MCDM) approach for evaluating municipal solid waste disposal strategies in Chennai. The city faces a serious waste problem, producing 6,084 tonnes of waste each day. The methodology tackles this issue by combining Complex q-Rung Orthopair Fuzzy Sets (Cq-ROFS) with Yager aggregation operators. We propose four new operators, Cq-ROFYPWA, Cq-ROFYPWG, Cq-ROFYPOWA, and Cq-ROFYPOWG. These operators leverage a 2-D representation of uncertainty (amplitude and phase) and weighted criteria to provide more accurate discrimination between waste management options than traditional techniques such as TOPSIS. The framework effectively evaluates trade-offs between economic feasibility, environmental impact, and technical performance. Applied to landfill management, bio-mining, and waste-to-energy conversion, the model demonstrates high consistency in rankings and sensitivity to performance variations. Fundamental mathematical properties—idempotency, boundedness, and monotonicity—are validated. This advanced, scalable framework serves as a highly robust, comprehensive, data-driven instrument for fostering sustainable waste management policy-making in rapidly urbanizing emerging economies.
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