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Information measures based on similarity under neutrosophic fuzzy environment and multi-criteria decision problems

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F23%3A10253791" target="_blank" >RIV/61989100:27240/23:10253791 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0952197623002105?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0952197623002105?via%3Dihub</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.engappai.2023.106026" target="_blank" >10.1016/j.engappai.2023.106026</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Information measures based on similarity under neutrosophic fuzzy environment and multi-criteria decision problems

  • Original language description

    The neutrosophic fuzzy set (NF-set) is a unique hybrid structure that combines the essence of the fuzzy and neutrosophic sets. It is an effective mathematical tool for dealing with indeterminate and inconsistent information in situations where the data are imprecise or vague. This paper defines the concepts of similarity -based information measures, including entropy and cross-entropy, between NF-sets. It is the first time these concepts have been introduced since the NF-sets were defined. We provide their interesting properties through well-proven theorems. In addition, we also propose a novel and efficient algorithm to make multi-criteria decision(s) using these information measures with a clear step-by-step illustration. It overcomes the limitations of the original algorithm when evaluating the criteria in two aspects: qualitative and quantitative. A real-world experiment is then conducted to assist students in choosing the optimal subject group(s) for the Vietnamese national high school graduation examination. Experimental results show that our method outperforms the previous original method when giving recommendations with sixteen correct cases, three acceptable cases, and one noisy case out of twenty real-life cases. Finally, the experimental results are presented visually, analyzed rigorously, and discussed carefully, intending to verify the validity and feasibility of the proposed algorithm. The Python source code for experiments is publicly available on Github.

  • Czech name

    —

  • Czech description

    —

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

    —

  • OECD FORD branch

    10200 - Computer and information sciences

Result continuities

  • Project

    —

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Engineering Applications of Artificial Intelligence

  • ISSN

    0952-1976

  • e-ISSN

    1873-6769

  • Volume of the periodical

    122

  • Issue of the periodical within the volume

    červen 2023

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    16

  • Pages from-to

    —

  • UT code for WoS article

    000955173500001

  • EID of the result in the Scopus database

    —