Methods for Multiple-Attribute Group Decision Making with q-Rung Interval-Valued Orthopair Fuzzy Information and Their Applications to the Selection of Green Suppliers

Abstract

In the practical world, there commonly exist different types of multiple-attribute group decision making (MAGDM) problems with uncertain information. Symmetry among some attributes’ information that is already known and unknown, and symmetry between the pure attribute sets and fuzzy attribute membership sets, can be an effective way to solve this type of MAGDM problem. In this paper, we investigate four forms of information aggregation operators, including the Hamy mean (HM) operator, weighted HM (WHM) operator, dual HM (DHM) operator, and the dual-weighted HM (WDHM) operator with the q-rung interval-valued orthopair fuzzy numbers (q-RIVOFNs). Then, some extended aggregation operators, such as the q-rung interval-valued orthopair fuzzy Hamy mean (q-RIVOFHM) operator; q-rung interval-valued orthopairfuzzy weighted Hamy mean (q-RIVOFWHM) operator; q-rung interval-valued orthopair fuzzy dual Hamy mean (q-RIVOFDHM) operator; and q-rung interval-valued orthopair fuzzy weighted dual Hamy mean (q-RIVOFWDHM) operator are presented, and some of their precious properties are studied in detail. Finally, a real example for green supplier selection in green supply chain management is provided, to demonstrate the proposed approach and to verify its rationality and scientific nature.

Generalized orthopair fuzzy weighted distance‐based approximation (WDBA) algorithm in emergency decision‐making

“…Du presented some q‐ rung orthopair fuzzy Minkowski‐type distance measures for solving some MADM issues. Extensions. Joshi et al and Wang et al extended the q‐ ROFS into interval form with its membership and nonmembership, named q‐ rung interval‐valued orthopair fuzzy set ( q‐ RIVOFS) or interval‐valued q‐ ROFS (IV q‐ ROFS). As real issues are getting more and more complicated and the linguistic preference information may be easily accepted.…”

Grey Fuzzy Multiple Attribute Group Decision-Making Methods Based on Interval Grey Triangular Fuzzy Numbers Partitioned Bonferroni Mean

“…A is the fuzzy subset in the space X = {x} and A ⊗ is the grey subset in the space X = {x}. The membership degree µ A (x) of x ∈ X is the fuzzy number in the interval [0,1], and the grey degree ν A (x) of x ∈ X is the grey number in the interval [0,1].…”

“…The expectation of all alternatives when5 The expectation of all alternatives when p = 5 and q ∈[0,20].…”

Dual Hesitant q-Rung Orthopair Fuzzy Hamacher Aggregation Operators and their Applications in Scheme Selection of Construction Project

“…Afterwards, more and more works about q-ROFS have been studied by numerous scholars [19][20][21][22][23][24][25]. However, the above-mentioned methods do not consider the human's hesitance.…”

“…Obviously, q-ROFS can be regarded as the extension of the IFS and PFS, when q = 1, the q-ROFS reduces to IFS, when q = 2, the q-ROFS reduces to PFS (see Figure 1). Afterwards, more and more works about q-ROFS have been studied by numerous scholars [19][20][21][22][23][24][25].…”