On basic arithmetic operations for interval-valued intuitionistic fuzzy sets using the Hamming distance with their application in decision making

Malik, Manisha; Gupta, S.K.

doi:10.1016/j.eswa.2023.122429

Expert Systems with Applications

2024

DOI: 10.1016/j.eswa.2023.122429

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On basic arithmetic operations for interval-valued intuitionistic fuzzy sets using the Hamming distance with their application in decision making

Manisha Malik,

S.K. Gupta

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Cited by 2 publications

References 48 publications

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New distance measures of complex Fermatean fuzzy sets with applications in decision making and clustering problems

Liu,

Zhu,

Senapati

et al. 2025

Information Sciences

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New distance measures of complex Fermatean fuzzy sets with applications in decision making and clustering problems

Liu,

Zhu,

Senapati

et al. 2025

Information Sciences

View full text Add to dashboard Cite

Location selection for offshore wind power station using interval-valued intuitionistic fuzzy distance measure-RANCOM-WISP method

Rani,

Mishra,

Cavallaro

et al. 2024

Sci Rep

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The development opportunities and high-performance capacity of offshore wind energy project depends on the selection of the suitable offshore wind power station (OWPS) location. The present study aims to introduce a decision-making model for assessing the locations for OWPS from multiple criteria and uncertainty perspectives. In this regard, the concept of interval-valued intuitionistic fuzzy set (IVIFS) is utilized to express uncertain information. To quantify the degree of difference between IVIFSs, an improved distance measure is proposed and further utilized for deriving the objective weights of criteria. Numerical examples are discussed to illustrate the usefulness of introduced IVIF-distance measure. The RANking COMparison (RANCOM) based on interval-valued intuitionistic fuzzy information is presented to determine the subjective weights of criteria. With the combination of objective and subjective weights of criteria, an integrated weighting tool is presented to find the numeric weights of criteria under IVIFS environment. Further, a hybrid interval-valued intuitionistic fuzzy Weighted integrated Sum Product (WISP) approach is developed to prioritize the OWPS locations from multiple criteria and uncertainty perspectives. This approach combines the benefits of two normalization tools and four utility measures, which approves the effect of beneficial and non-beneficial criteria by means of weighted sum and weighted product measures. Further, the developed approach is applied to the OWPS location selection problem of Gujarat, India. Sensitivity and comparative analyses are presented to confirm the robustness and stability of the present WISP approach. This study provides an innovative decision analysis framework, which makes a significant contribution to the OWPS locations assessment problem under uncertain environment.

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On basic arithmetic operations for interval-valued intuitionistic fuzzy sets using the Hamming distance with their application in decision making

Cited by 2 publications

References 48 publications

New distance measures of complex Fermatean fuzzy sets with applications in decision making and clustering problems

New distance measures of complex Fermatean fuzzy sets with applications in decision making and clustering problems

Location selection for offshore wind power station using interval-valued intuitionistic fuzzy distance measure-RANCOM-WISP method

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