Aggregation operators and VIKOR method based on complex q-rung orthopair uncertain linguistic informations and their applications in multi-attribute decision making

Abstract

Complex q-rung orthopair uncertain linguistic set (CQROULS) is a combination of complex q-rung orthopair fuzzy set (CQROFS) and uncertain linguistic variable set (ULVS) as a proficient technique to express uncertain and awkward information in real decision theory. CQROULS contains uncertain linguistic variables, truth and falsity grades, which gives extensive freedom to decision makers for taking a decision as compared to CQROFS and their special cases. In this article, a new concept of fuzzy set, called CQROULS using CQROFS and ULVS is explored, and this can examine the qualitative assessment of decision makers and gives them extensive freedom in reflecting their belief about allowable truth grades. Based on the established operational laws and comparison methods for CQROULSs, the notions of complex q-rung orthopair uncertain linguistic weighted-averaging aggregation operator and complex q-rung orthopair uncertain linguistic weighted geometric aggregation operator are explored. Some special cases and the desirable properties of the explored operators are also established and studied. Additionally, the notion of VIseKriterijumska Optimizacija I KOmpromisno Resenje (VIKOR) method based on CQROULSs is explored, with the help of a numerical example, it is verified and also its comparative study is established. Moreover, based on the above analysis, we establish a method to solve the multi-attribute group decision making problems, in which the evaluation information is shown as CQROULNs. Finally, we solve some numerical examples using some decision making steps and explain the verity and proficiency of the explored operators by comparing with other methods, the advantages and graphical interpretation of the explored work are also discussed.

Decision Support System Based on Complex q -Rung Orthopair Fuzzy Rough Hamacher Aggregation Operator through Modified EDAS Method

“…A comparative study was conducted in the context of some existing methods ( [45][46][47][48][49]63]) in order to demonstrate the superiority of our investigated Cq-ROFR modified EDAS method.…”

“…Garg et al [46] defined new logarithmic operation laws based complex q-rung orthopair fuzzy aggregation operators. Mahmood and Ali [47] proposed AOs and VIKOR method based on complex q-rung orthopair fuzzy uncertain linguistic information and their applications in MCDM. Naz et al [48] defined a hybrid MADM model under complex q -rung orthopair fuzzy Hamy mean aggregation operators.…”

An information measure based extended VIKOR method in intuitionistic fuzzy valued neutrosophic value setting for multi-criteria group decision making

“…A Fuzzy VIKOR method [40] which relates to distance of an alternative to the ideal solution was developed to solve MCDM problems in a fuzzy environment. Then, fuzzy VIKOR method has been extended to its several fuzzy versions by using various types of FSs such as intuitionistic fuzzy VIKOR [41,42], hesitant fuzzy VIKOR [43], linguistic hesitant fuzzy VIKOR [44], spherical fuzzy VIKOR [45], complex q-rung orthopair uncertain linguistic VIKOR [46]. Moreover, Zare et.…”

Extended TOPSIS Method for Supplier Selection under Picture Hesitant Fuzzy Environment Using Linguistic Variables

“…In 2020, Ali et al [42] introduced the concept of TOPSIS method under complex spherical fuzzy sets utilizing Bonferroni mean operators. Tahir and Zeeshan utilized complex q-rung orthopair fuzzy set (CQROFS) and uncertain linguistic variable set (ULVS) and explored the new idea of fuzzy set called complex q-rung orthopair uncertain linguistic set (CQROULS) [43]. Also, in 2020, [44], Mahmood and Ali introduced TOPSIS algorithm based on q-rung orthopair fuzzy set (q-ROFS).…”