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2018•Journal of Intelligent SystemsOpen access

Cubic Ordered Weighted Distance Operator and Application in Group Decision-Making

Muhammad Shakeel, Saleem Abdullah, Rehan Ahmed

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Abstract

Abstract Group decision-making is a very useful technique for ranking the group of alternatives. The ordered weighted distance (OWD) operator is a new tool in group decision-making problems. In this paper, we apply the OWD operator on cubic information. We develop a new operator, the so-called cubic OWD (COWD) operator, and study the different properties of it. We also discuss some particular cases of COWD. Finally, we develop a general algorithm for group decision-making problems using the COWD operator and give an application to the group decision-making problem.

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What this paper is about

Abstract Group decision-making is a very useful technique for ranking the group of alternatives. The ordered weighted distance (OWD) operator is a new tool in group decision-making problems. In this paper, we apply the OWD operator on cubic information. We develop a new operator, the so-called cubic OWD (COWD) operator, and study the different properties of it. We also discuss some particular cases of COWD. Finally, we develop a general algorithm for group decision-making problems using the COWD operator and give an application to the group decision-making problem.

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Available abstract

Abstract Group decision-making is a very useful technique for ranking the group of alternatives. The ordered weighted distance (OWD) operator is a new tool in group decision-making problems. In this paper, we apply the OWD operator on cubic information. We develop a new operator, the so-called cubic OWD (COWD) operator, and study the different properties of it. We also discuss some particular cases of COWD. Finally, we develop a general algorithm for group decision-making problems using the COWD operator and give an application to the group decision-making problem.

Key concepts: Operator (biology), Group decision-making, Ranking (information retrieval), Group (periodic table), Mathematics, Shift operator, Computer science, Algorithm

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