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  • Open Access

    ARTICLE

    Obtaining Crisp Priorities for Triangular and Trapezoidal Fuzzy Judgments

    Raman Kumar Goyal1, Jaskirat Singh1, Nidhi Kalra1, Anshu Parashar1,*, Gagan Singla2, Sakshi Kaushal2

    Computer Systems Science and Engineering, Vol.41, No.1, pp. 157-170, 2022, DOI:10.32604/csse.2022.018962

    Abstract This paper proposes anoptimal fuzzy-based model for obtaining crisp priorities for Fuzzy-AHP comparison matrices. Crisp judgments cannot be given for real-life situations, as most of these include some level of fuzziness and complexity. In these situations, judgments are represented by the set of fuzzy numbers. Most of the fuzzy optimization models derive crisp priorities for judgments represented with Triangular Fuzzy Numbers (TFNs) only. They do not work for other types of Triangular Shaped Fuzzy Numbers (TSFNs) and Trapezoidal Fuzzy Numbers (TrFNs). To overcome this problem, a sum of squared error (SSE) based optimization model is proposed. Unlike some other methods,… More >

  • Open Access

    ARTICLE

    Optimal Solution of Fuzzy Transportation Problem Using Octagonal Fuzzy Numbers

    D. Gurukumaresan1,*, C. Duraisamy1, R. Srinivasan2

    Computer Systems Science and Engineering, Vol.37, No.3, pp. 415-421, 2021, DOI:10.32604/csse.2021.014130

    Abstract In this paper a fuzzy transportation problem under a fuzzy environment is solved using octagonal fuzzy numbers. The transportation problem is significant and has been widely studied in the field of applied mathematics to solve a system of linear equations in many applications in science. Systems of concurrent linear equations play a vital major role in operational research. The main perspective of this research paper is to find out the minimum amount of transportation cost of some supplies through a capacitated network formerly the availability and the demand notes are octagonal fuzzy numbers. Octagonal fuzzy numbers are used and showed… More >

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