Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (, , ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of , while is the neutral (or indeterminate) between them, i.e., neither nor .Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set.This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc

Desenvolvimento de método multicritério linguístico para avaliação de desempenho e priorização de recursos

Performance indicators are information collected at regular intervals to track the performance of organizations. With scarce resources and a high number of performance indicators, it is difficult to improve all organizational aspects simultaneously. At the same time, several types of indicators have a subjective character with measurement expressed in words with present uncertainty. Management tools and multicriteria decision support methodologies (MCDM) have been used to evaluate the performance of organizations. However, there are limitations in traditional MCDM: independence of criteria and disregard for the collaborative environment. The main objective of this dissertation was to develop a linguistic multicriteria method for collaborative environments with performance evaluation based on subjective information aiming to prioritize resource allocation to generate greater impact on the organization. The proposed method was developed based on a systematic literature review and the adaptation of existing methodologies. It consists of assessing language performance, determining importance based on 2- Tuple Language Weight in determining language importance and capturing influence through DEMATEL 2-Tuple, all being operationalized in a 2-Tuple computational environment. The proposed method introduces the concept of 'Impact' which combines importance (perceived utility) and influence (causality) as different quantities acting on the same system or collaborative environment. The main steps of the method are Structuring, Evaluation, Processing, Result, and Revaluation. To verify the proposed method, the problem reported by Singh et al. (2018) with the contribution of data from Meksavang et al. (2019) referring to the same study, were adapted for application. As a result of the application, it was identified which priority Performance Indicators (PIs), with the highest potential impact, to develop a group of ecologically correct meat suppliers with economic viability, and it was observed that considering the comparative limitations, the suggestions of prioritization captured by the proposed method are in line with the method selection suggestions developed by Singh et al. (2018) and Meksavang et al. (2019) verifying that the steps developed by the proposed method are adequately structured and feasible.Indicadores de desempenho (IDs) são informações coletadas em intervalos regulares para acompanhar o desempenho de organizações. Com recursos escassos e um número elevado de IDs, torna-se difícil aperfeiçoar todos os aspectos organizacionais simultaneamente. Concomitantemente, diversos tipos de IDs têm caráter subjetivo com mensuração expressa em palavras com incerteza presente. Ferramentas da administração e metodologias multicritério de apoio à tomada de decisão (MCDM) têm sido utilizadas para avaliar o desempenho das organizações.Porém há limitações na MCDM tradicional: a independência dos critérios e a desconsideração ao ambiente colaborativo. O principal objetivo desta dissertação foi desenvolver um método multicritério linguístico para ambientes colaborativos com avaliação de desempenho a partir de informações subjetivas visando priorizar alocação de recursos para gerar maior impacto na organização. O método proposto foi desenvolvido com base em uma revisão sistemática de literatura e na adaptação de metodologias existentes. Consiste na avaliação de desempenho linguística, na determinação da importância com base no Peso Linguístico 2-Tuple na determinação da importância linguística e na captação da influência por meio do DEMATEL 2-Tuple, sendo todos operacionalizados em um ambiente computacional 2-Tuple. O método proposto introduz o conceito de „Impacto’ que combina a importância (utilidade percebida) e influência (causalidade) como grandezas diferentes atuantes em um mesmo sistema, ou ambiente colaborativo. As principais etapas do método são: Estruturação, Avaliação, Processamento, Resultado e Reavaliação. Para verificação do método proposto o problema relatado por Singh et al. (2018) com a contribuição dos dados do trabalho de Meksavang et al. (2019) referentes ao mesmo estudo, foram adaptados para aplicação. Como resultado da aplicação identificou-se quais os IDs prioritários, com maior impacto potencial, para desenvolver um grupo de fornecedores de gado ecologicamente corretos com viabilidade econômica, e observou-se que, consideradas as limitações comparativas, as sugestões de priorização captadas pelo método proposto estão alinhadas com as sugestões de seleção dos métodos elaborados por Singh et al. (2018) e Meksavang et al. (2019) verificando que os passos desenvolvidos pelo método proposto são adequadamente estruturados e exequíveis

Symmetric and Asymmetric Data in Solution Models

This book is a Printed Edition of the Special Issue that covers research on symmetric and asymmetric data that occur in real-life problems. We invited authors to submit their theoretical or experimental research to present engineering and economic problem solution models that deal with symmetry or asymmetry of different data types. The Special Issue gained interest in the research community and received many submissions. After rigorous scientific evaluation by editors and reviewers, seventeen papers were accepted and published. The authors proposed different solution models, mainly covering uncertain data in multicriteria decision-making (MCDM) problems as complex tools to balance the symmetry between goals, risks, and constraints to cope with the complicated problems in engineering or management. Therefore, we invite researchers interested in the topics to read the papers provided in the book

Multi-Objective and Multi-Attribute Optimisation for Sustainable Development Decision Aiding

Optimization is considered as a decision-making process for getting the most out of available resources for the best attainable results. Many real-world problems are multi-objective or multi-attribute problems that naturally involve several competing objectives that need to be optimized simultaneously, while respecting some constraints or involving selection among feasible discrete alternatives. In this Reprint of the Special Issue, 19 research papers co-authored by 88 researchers from 14 different countries explore aspects of multi-objective or multi-attribute modeling and optimization in crisp or uncertain environments by suggesting multiple-attribute decision-making (MADM) and multi-objective decision-making (MODM) approaches. The papers elaborate upon the approaches of state-of-the-art case studies in selected areas of applications related to sustainable development decision aiding in engineering and management, including construction, transportation, infrastructure development, production, and organization management

Collected Papers (on Neutrosophic Theory and Its Applications in Algebra), Volume IX

This ninth volume of Collected Papers includes 87 papers comprising 982 pages on Neutrosophic Theory and its applications in Algebra, written between 2014-2022 by the author alone or in collaboration with the following 81 co-authors (alphabetically ordered) from 19 countries: E.O. Adeleke, A.A.A. Agboola, Ahmed B. Al-Nafee, Ahmed Mostafa Khalil, Akbar Rezaei, S.A. Akinleye, Ali Hassan, Mumtaz Ali, Rajab Ali Borzooei , Assia Bakali, Cenap Özel, Victor Christianto, Chunxin Bo, Rakhal Das, Bijan Davvaz, R. Dhavaseelan, B. Elavarasan, Fahad Alsharari, T. Gharibah, Hina Gulzar, Hashem Bordbar, Le Hoang Son, Emmanuel Ilojide, Tèmítópé Gbóláhàn Jaíyéolá, M. Karthika, Ilanthenral Kandasamy, W.B. Vasantha Kandasamy, Huma Khan, Madad Khan, Mohsin Khan, Hee Sik Kim, Seon Jeong Kim, Valeri Kromov, R. M. Latif, Madeleine Al-Tahan, Mehmat Ali Ozturk, Minghao Hu, S. Mirvakili, Mohammad Abobala, Mohammad Hamidi, Mohammed Abdel-Sattar, Mohammed A. Al Shumrani, Mohamed Talea, Muhammad Akram, Muhammad Aslam, Muhammad Aslam Malik, Muhammad Gulistan, Muhammad Shabir, G. Muhiuddin, Memudu Olaposi Olatinwo, Osman Anis, Choonkil Park, M. Parimala, Ping Li, K. Porselvi, D. Preethi, S. Rajareega, N. Rajesh, Udhayakumar Ramalingam, Riad K. Al-Hamido, Yaser Saber, Arsham Borumand Saeid, Saeid Jafari, Said Broumi, A.A. Salama, Ganeshsree Selvachandran, Songtao Shao, Seok-Zun Song, Tahsin Oner, M. Mohseni Takallo, Binod Chandra Tripathy, Tugce Katican, J. Vimala, Xiaohong Zhang, Xiaoyan Mao, Xiaoying Wu, Xingliang Liang, Xin Zhou, Yingcang Ma, Young Bae Jun, Juanjuan Zhang