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

IF 2.9 4区计算机科学

International Journal of Computational Intelligence Systems Pub Date : 2023-10-26 DOI:10.1007/s44196-023-00343-1

Umme Kalsoom, Kifayat Ullah, Maria Akram, Dragan Pamucar, Tapan Senapati, Muhammad Naeem, Francesco Pilla, Sarbast Moslem

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引用次数: 0

Abstract

Abstract 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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基于复杂区间值直觉模糊信息的多属性决策Schweizer-Sklar功率聚合算子

本文在复区间值直觉模糊(CIVIF)集合理论的基础上，提出了Schweizer-Sklar运算律的概念，其中Schweizer-Sklar范数是代数范数、Hamacher范数和Lukasiewicz范数的本质和有价值的修正。在此基础上，我们提出了civf Schweizer-Sklar幂平均算子(CIVIFSSPA)、CIVIF Schweizer-Sklar幂有序平均算子(CIVIFSSPOA)、CIVIF Schweizer-Sklar幂有序几何算子(CIVIFSSPG)和CIVIF Schweizer-Sklar幂有序几何算子(CIVIFSSPOG)的概念，它们是三种不同结构的组合，用于评估三个不同的问题。此外，还提出了一些可靠、可行的性质和结果。此外，我们还举例说明了一个应用程序，称为多属性决策(MADM)场景，用于帮助发现算子来评估一些现实问题，以显示评估算子的可靠性和稳定性。最后，我们将所提到的算子与各种常用算子进行比较，以提高所评估方法的价值和稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Computational Intelligence Systems 工程技术-计算机：跨学科应用

自引率

3.40%

发文量

期刊介绍： The International Journal of Computational Intelligence Systems publishes original research on all aspects of applied computational intelligence, especially targeting papers demonstrating the use of techniques and methods originating from computational intelligence theory. The core theories of computational intelligence are fuzzy logic, neural networks, evolutionary computation and probabilistic reasoning. The journal publishes only articles related to the use of computational intelligence and broadly covers the following topics: -Autonomous reasoning- Bio-informatics- Cloud computing- Condition monitoring- Data science- Data mining- Data visualization- Decision support systems- Fault diagnosis- Intelligent information retrieval- Human-machine interaction and interfaces- Image processing- Internet and networks- Noise analysis- Pattern recognition- Prediction systems- Power (nuclear) safety systems- Process and system control- Real-time systems- Risk analysis and safety-related issues- Robotics- Signal and image processing- IoT and smart environments- Systems integration- System control- System modelling and optimization- Telecommunications- Time series prediction- Warning systems- Virtual reality- Web intelligence- Deep learning