Soft Approximations and uni-int Decision Making

Details Soft Approximations and uni-int Decision Making Soft Approximations and uni-int Decision Making

2010-06-29

arxiv.org/abs/1006.5511v2

Computer Science

Artificial Intelligence

This paper has been withdrawn by the author due to further expansion of this work. Work is also submitted to a peer reviewed j

Scientific paper

Notions of core, support and inversion of a soft set have been de ned and studied. Soft approximations are soft sets developed through core and support, and are used for granulating the soft space. Membership structure of a soft set has been probed in and many interesting properties presented. The mathematical apparatus developed so far in this paper yields a detailed analysis of two works viz. [N. Cagman, S. Enginoglu, Soft set theory and uni-int decision making, European Jr. of Operational Research (article in press, available online 12 May 2010)] and [N. Cagman, S. Enginoglu, Soft matrix theory and its decision making, Computers and Mathematics with Applications 59 (2010) 3308 - 3314.]. We prove (Theorem 8.1) that uni-int method of Cagman is equivalent to a core-support expression which is computationally far less expansive than uni-int. This also highlights some shortcomings in Cagman's uni-int method and thus motivates us to improve the method. We rst suggest an improvement in uni-int method and then present a new conjecture to solve the optimum choice problem given by Cagman and Enginoglu. Our Example 8.6 presents a case where the optimum choice is intuitively clear yet both uni-int methods (Cagman's and our improved one) give wrong answer but the new conjecture solves the problem correctly.

Affiliated with

Also associated with

No associations

Rating

Soft Approximations and uni-int Decision Making does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Soft Approximations and uni-int Decision Making, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Soft Approximations and uni-int Decision Making will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-314129