Authors: Xianning Wang; Zhi Xiao
Addresses: School of Economics and Business Administration, Chongqing University, No. 174 Shazhengjie, Shapingba District, 400044, Chongqing, China ' School of Economics and Business Administration, Chongqing Key Laboratory of Logistics, Chongqing University, No. 174 Shazhengjie, Shapingba District, Chongqing, 400044, China
Abstract: Soft sets are efficient and flexible tools to describe uncertainty and fuzziness. In this paper, we integrate soft set theory into the specification of fuzzy spatial dependent relationship and provide a framework for spatial weight description. We treat the configuration of spatial location relationship as soft sets and propose a new dependence measure based on operations of soft sets. The proposed soft spatial weights matrix efficiently combines information of 'spatial adjacent relation' and 'spatial distance'. Further, Chinese regional industrial agglomeration data are applied to empirical analysis. The spatial autoregressive error panel model (SEM) with our new matrix performs better than that of Moran's I, log-likelihood and interpretation.
Keywords: spatial weights matrices; soft sets; spatial autoregressive error panel model; SEM; uncertainty; fuzziness; spatial location relationship; China.
International Journal of Applied Decision Sciences, 2016 Vol.9 No.1, pp.39 - 69
Available online: 05 Aug 2016 *Full-text access for editors Access for subscribers Purchase this article Comment on this article