Schweizer–Sklar Power Aggregation Operators Based on Complex Interval-Valued Intuitionistic Fuzzy Information for Multi-attribute Decision-Making

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作者
Umme Kalsoom
Kifayat Ullah
Maria Akram
Dragan Pamucar
Tapan Senapati
Muhammad Naeem
Francesco Pilla
Sarbast Moslem
机构
[1] Riphah Institute of Computing and Applied Sciences (RICAS),Department of Mathematics
[2] Riphah International University (Lahore Campus),Department of Mathematics, College of Mathematical Sciences
[3] Umm Al-Qura University,Faculty of Organizational Sciences
[4] University of Belgrade,Department of Mathematics
[5] Padima Janakalyan Banipith,School of Mathematics and Statistics
[6] Southwest University,School of Architecture Planning and Environmental Policy
[7] University College of Dublin,College of Engineering
[8] Yuan Ze University,undefined
关键词
Complex interval-valued intuitionistic fuzzy sets; Schweizer–Sklar t-norm and t-conorm; Power aggregation operators; Decision-making methods;
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摘要
This manuscript proposes the concept of Schweizer–Sklar operational laws under the consideration of the complex interval-valued intuitionistic fuzzy (CIVIF) set theory, where the Schweizer–Sklar norms are the essential and valuable modification of many norms, such as algebraic, Hamacher, and Lukasiewicz norms. Moreover, keeping the dominancy of the presented laws, we derive the concept of CIVIF Schweizer–Sklar power averaging (CIVIFSSPA), CIVIF Schweizer–Sklar power ordered averaging (CIVIFSSPOA), CIVIF Schweizer–Sklar power geometric (CIVIFSSPG), and CIVIF Schweizer–Sklar power ordered geometric (CIVIFSSPOG) operators, which are the combination of the three different structures for evaluating three different problems. Further, some reliable and feasible properties and results for derived work are also invented. Additionally, we also illustrate an application, called multi-attribute decision-making (MADM) scenario for evaluating some real-world problems with the help of discovered operators for showing the reliability and stability of the evaluated operators. Finally, we compare our mentioned operators with various prevailing operators for enhancing the worth and stability of the evaluated approaches.
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