Research article Special Issues

Extended fuzzy -Soft PROMETHEE method and its application in robot butler selection


  • Received: 14 July 2022 Revised: 12 September 2022 Accepted: 12 October 2022 Published: 07 November 2022
  • This paper extends the literature on fuzzy PROMETHEE, a well-known multi-criteria group decision-making technique. The PROMETHEE technique ranks alternatives by specifying an allowable preference function that measures their deviations from other alternatives in the presence of conflicting criteria. Its ambiguous variation helps to make an appropriate decision or choose the best option in the presence of some ambiguity. Here, we focus on the more general uncertainty in human decision-making, as we allow -grading in fuzzy parametric descriptions. In this setting, we propose a suitable fuzzy -soft PROMETHEE technique. We recommend using an Analytic Hierarchy Process to test the feasibility of standard weights before application. Then the fuzzy -soft PROMETHEE method is explained. It ranks the alternatives after some steps summarized in a detailed flowchart. Furthermore, its practicality and feasibility are demonstrated through an application that selects the best robot housekeepers. The comparison between the fuzzy PROMETHEE method and the technique proposed in this work demonstrates the confidence and accuracy of the latter method.

    Citation: Muhammad Akram, Maheen Sultan, José Carlos R. Alcantud, Mohammed M. Ali Al-Shamiri. Extended fuzzy -Soft PROMETHEE method and its application in robot butler selection[J]. Mathematical Biosciences and Engineering, 2023, 20(2): 1774-1800. doi: 10.3934/mbe.2023081

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  • This paper extends the literature on fuzzy PROMETHEE, a well-known multi-criteria group decision-making technique. The PROMETHEE technique ranks alternatives by specifying an allowable preference function that measures their deviations from other alternatives in the presence of conflicting criteria. Its ambiguous variation helps to make an appropriate decision or choose the best option in the presence of some ambiguity. Here, we focus on the more general uncertainty in human decision-making, as we allow -grading in fuzzy parametric descriptions. In this setting, we propose a suitable fuzzy -soft PROMETHEE technique. We recommend using an Analytic Hierarchy Process to test the feasibility of standard weights before application. Then the fuzzy -soft PROMETHEE method is explained. It ranks the alternatives after some steps summarized in a detailed flowchart. Furthermore, its practicality and feasibility are demonstrated through an application that selects the best robot housekeepers. The comparison between the fuzzy PROMETHEE method and the technique proposed in this work demonstrates the confidence and accuracy of the latter method.



    Many scientific and technological disciplines are engaged in developing and manufacturing high-quality, highly functional, and nutritious food. However, these efforts are being increasingly challenged by a significant need for new tools, data, and information that are essential for winning the war against food fraud. The phenomenon of food fraud or adulteration is not new and has impacted human civilizations since the beginning of food production and trading. In most cases, food fraud is economically driven, however, its direct and indirect actual and potential influence reaches far beyond its economic impact on individuals and societies. In many cases, adulterated food contains harmful or toxic chemical, physical, and/or biological constituents that present significant food-safety-related risks. Food fraud leads to loss of reputation that spans throughout the entire food supply chain and damages consumer confidence. In many cases, intentionally adulterated or fraudulent foods present challenges that are related to food defense and/or food security. Food fraud can have social- dietary- and/or religion-related implications. Food fraud may also present potential homeland security-related implications (bioterrorism). It is thus essential to recognize that food fraud exhibits a very wide sphere of challenges that must be addressed collectively as food crimes. The annual global economic loss that results from food crimes is estimated to be about $70 billion and affects individuals, companies, regions, and national economies. Strategies and means that are aimed at enhancing our capability to identify and fight these crimes have therefore to be developed and implemented in a way that successfully addresses the multifaceted nature of food crimes. There are different ways by which food products, food raw materials, and ingredients, as well as information about them are adulterated. In its most basic form, food crime is based on counterfeiting and marketing illegal replication of a legal product. In other cases, food products are diluted with water or inferior/toxic ingredients. Food crimes may involve substitution of a high-value component of a product with inferior, lower-value, and/or unsafe ingredients. Adulteration of food may also involve concealment of defects or poor quality of a product or its components. In yet other cases, food crimes may involve enhancement of product or its ingredients with banned and/or toxic ingredients or application of an unapproved process to improve the product quality. Gray market theft and diversion as well as marketing of mislabeled products with incorrect or missing information about their nature or their regional origin are also common aspects of food crimes. In recent years, the regional origin of specific food products has gained a significant importance and value among consumers and thus has become a major target of adulteration. Identifying and fighting food crimes is highly dependent on our capability to effectively authenticate food products, their constituent raw materials, and food ingredients. In simple terms, authentication must provide answers to two questions: a) is this what it says it is? And b), in most cases, where does it come from? Answering these questions requires the application of a broad array of effective and credible analytical tools and approaches that can identify the fraudulent nature of a product in questions. Success in fighting food crimes is also determined by our ability to trace every product and/or its ingredient throughout the entire supply chain. Many analytical tools for food authentication exist, however, success also requires having a continuously validated and updated data bank consisting of the "fingerprints" of all such products and ingredients. These data sets should be developed in a way that reflects (for each product and ingredient) the inherent biological-, physical-, chemical-, regional- seasonal-, and agrotechnological-related variabilities. The latter mounts to a major knowledge gap that hinders our ability to effectively identify and fight food crimes. During recent decades, the food supply chain has been globalized and evolved from a relatively simple linear chain of regional transactions into a very complicated and convoluted series of events that span all over the globe. This evolution and the among-regions differences in analytical and traceability capabilities compromise success of food traceability and authentication and thus the deterrence of food fraud. The latter presents a major challenge that must be addressed. If food crime remains a "profitable low-risk criminal activity" it will continue to grow and flourish. This aspect is reflected in the significant involvement of organized crime in food crimes. A very effective legislation and enforcement effort is therefore needed at the local, regional, and international level to successfully fight food crimes. I would like to call upon funding agencies, academia, research institutes, and governments to direct means and efforts at developing and introducing the basic knowledge and applicable information that are needed in order to close the above-described knowledge and data gaps and affectively address the current challenges that are presented by food crimes. I would like to invite all those who will become engaged in such efforts to publish their work in our journal.

    Moshe Rosenberg, D.Sc., Editor in Chief

    Professor Emeritus Food Science and Technology

    Department of Food Science and Technology

    University of California, Davis

    Davis, CA 95616

    U.S.A



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