SsT decomposition method for solving fully fuzzy linear systems

Abstract

The <em><span style="font-family: CMSY10; font-size: small;" lang="JA"><span style="font-family: CMSY10; font-size: small;" lang="JA">S</span></span>_{<span style="font-family: CMSY7; font-size: xx-small;"><span style="font-family: CMSY7; font-size: xx-small;">S</span></span>}<span style="font-family: CMMI10; font-size: small;"><span style="font-family: CMMI10; font-size: small;">T </span></span></em><span style="font-family: CMR10; font-size: small;"><span style="font-family: CMR10; font-size: small;">decomposition method for solving system of linear equations make it possible to obtain the </span></span>values of roots of the system with the specified accuracy as the limit of the sequence of some vectors. In this topic we are going to consider vectors as fuzzy vectors. We have considered a numerical example and tried to find out solution vector <em><span style="font-family: CMMI10; font-size: small;"><span style="font-family: CMMI10; font-size: small;">x </span></span></em><span style="font-family: CMR10; font-size: small;"><span style="font-family: CMR10; font-size: small;">in fuzzified form using method of </span></span><em><span style="font-family: CMSY10; font-size: small;" lang="JA"><span style="font-family: CMSY10; font-size: small;" lang="JA">S</span></span>_{<span style="font-family: CMSY7; font-size: xx-small;"><span style="font-family: CMSY7; font-size: xx-small;">S</span></span>}<span style="font-family: CMMI10; font-size: small;"><span style="font-family: CMMI10; font-size: small;">T </span></span></em><span style="font-family: CMR10; font-size: small;"><span style="font-family: CMR10; font-size: small;">decomposition.</span></span>