Affiliations: [a] Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, Pakistan
| [b] Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan
Correspondence:
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Corresponding author. Muhammad Sajjad Ali Khan, Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, KPK, Pakistan. E-mail: sajjadalimath@yahoo.com.
Abstract: The aim of this paper is to introduce the notion of linguistic interval-valued q-rung orthopair fuzzy set (LIVq-ROFS) as a generalization of linguistic q-rung orthopair fuzzy set. We develop some basic operations, score and accuracy functions to compare the LIVq-ROF values (LIVq-ROFVs). Based on the proposed operations a series of aggregation techniques to aggregate the LIVq-ROFVs and some of their desirable properties are discussed in detail. Moreover, a TOPSIS method is developed to solve a multi-criteria decision making (MCDM) problem under LIVq-ROFS setting. Furthermore, a MCDM approach is proposed based on the developed operators and TOPSIS method, then a practical decision making example is given in order to explain the proposed method. To illustrate to effectiveness and application of the proposed method a comparative study is also conducted.
Keywords: Linguistic interval-valued q-rung orthopair fuzzy set (LIVq-ROFS), LIVq-ROF aggregation operators, TOPSIS method, MCDM problem
