4.6 Article

EXTENDED INDUCED ORDERED WEIGHTED AVERAGING DISTANCE OPERATORS AND THEIR APPLICATION TO GROUP DECISION-MAKING

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219622013500296

Keywords

IOWAD operator; LIOWAD operator; UIOWAD operator; FIOWAD operator; group decision making

Funding

  1. National Funds of Social Science of China [12ATJ001]
  2. Statistical Scientific Research Project of China [2012LZ010]
  3. Zhejiang Province Natural Science Foundation [Y6110777]
  4. European Commission [PIEF-GA-2011-300062]
  5. Philosophy and Social Science Key Research Base of Zhejiang Province - the Port Modern Service Industry and Creative Research Center

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The induced ordered weighted averaging distance (IOWAD) approach is very suitable in situations in which the available information is represented with exact numerical values. In this paper, we develop some extended IOWAD operators: the linguistic induced ordered weighted averaging distance (LIOWAD) operator, the uncertain induced ordered weighted averaging distance (UIOWAD) operator and the fuzzy induced ordered weighted averaging distance (FIOWAD) operator. Their main objective is to assess uncertain situations in which the available information is given in the form of linguistic variables, interval numbers and fuzzy numbers. Some special cases of these three new extensions are studied. Finally, we develop an application of the new operators in a group decision-making problem under an uncertain environment and illustrate it with a numerical example.

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