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  • Open Access

    ARTICLE

    Interval-Valued Neutrosophic Soft Expert Set from Real Space to Complex Space

    Faisal Al-Sharqi1,2, Abd Ghafur Ahmad1,*, Ashraf Al-Quran3

    CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.1, pp. 267-293, 2022, DOI:10.32604/cmes.2022.019684 - 02 June 2022

    Abstract A fuzzy system is a novel computing technique that accesses uncertain information by fuzzy representation. In the decision-making process, fuzzy system and soft computing are effective tools that are tolerant to imprecision, uncertainty, and partial truths. Evolutionary fuzzy systems have been developed with the appearance of interval fuzzy, dual fuzzy, hesitant fuzzy, neutrosophic, plithogenic representations, etc. Moreover, by capturing compound features and convey multi-dimensional data, complex numbers are utilized to generalize fuzzy and neutrosophic fuzzy sets. In this paper, a representation of neutrosophic soft expert systems based on the real and complex numbers in the… More >

  • Open Access

    ARTICLE

    Sine Trigonometry Operational Laws for Complex Neutrosophic Sets and Their Aggregation Operators in Material Selection

    D. Ajay1, J. Aldring1, G. Rajchakit2, P. Hammachukiattikul3, N. Boonsatit4,*

    CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.2, pp. 1033-1076, 2022, DOI:10.32604/cmes.2022.018267 - 13 December 2021

    Abstract In this paper, sine trigonometry operational laws (ST-OLs) have been extended to neutrosophic sets (NSs) and the operations and functionality of these laws are studied. Then, extending these ST-OLs to complex neutrosophic sets (CNSs) forms the core of this work. Some of the mathematical properties are proved based on ST-OLs. Fundamental operations and the distance measures between complex neutrosophic numbers (CNNs) based on the ST-OLs are discussed with numerical illustrations. Further the arithmetic and geometric aggregation operators are established and their properties are verified with numerical data. The general properties of the developed sine trigonometry… More >

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