Soft Sequences and Their Application to NC-Backgammon

Abstract

Soft set theory was defined by Molodtsov in 1999 to model problems involving uncertainty. In this study, soft sequences are defined as a special case of soft sets. It is defined as a function from the set of positive integers to the power set of a universe. As a new concept, connected and disconnected soft sequences, chained soft sequences, centered soft sequences, increasing soft sequences, decreasing soft sequences, and ordered soft sequences are defined. Finally, soft sequences are applied to game theory. Using chained soft sequences, no chance (NC) backgammon —a zero-sum, strategic, and intelligence game — is played.

Keywords

• Soft set
• soft sequence
• connected soft sequence
• NC-backgammon
• game theory

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