CINXE.COM

<!DOCTYPE html><html lang="en-US"><head><title>Just a moment...</title><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><meta http-equiv="X-UA-Compatible" content="IE=Edge"><meta name="robots" content="noindex,nofollow"><meta name="viewport" content="width=device-width,initial-scale=1"><style>*{box-sizing:border-box;margin:0;padding:0}html{line-height:1.15;-webkit-text-size-adjust:100%;color:#313131;font-family:system-ui,-apple-system,BlinkMacSystemFont,Segoe UI,Roboto,Helvetica Neue,Arial,Noto Sans,sans-serif,Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol,Noto Color Emoji}body{display:flex;flex-direction:column;height:100vh;min-height:100vh}.main-content{margin:8rem auto;max-width:60rem;padding-left:1.5rem}@media (width <= 720px){.main-content{margin-top:4rem}}.h2{font-size:1.5rem;font-weight:500;line-height:2.25rem}@media (width <= 720px){.h2{font-size:1.25rem;line-height:1.5rem}}#challenge-error-text{background-image:url(data:image/svg+xml;base64,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);background-repeat:no-repeat;background-size:contain;padding-left:34px}@media (prefers-color-scheme:dark){body{background-color:#222;color:#d9d9d9}}</style><meta http-equiv="refresh" content="120"></head><body class="no-js"><div class="main-wrapper" role="main"><div class="main-content"><noscript><div class="h2"><span id="challenge-error-text">Enable JavaScript and cookies to continue</span></div></noscript></div></div><script>(function(){window._cf_chl_opt={cvId: '3',cZone: "publications.waset.org",cType: 'non-interactive',cRay: '9134e09878e281ba',cH: 'dhoMZbZO4TxDHzft3KlKi1oFhTIkoJrkfLjdsUsiscI-1739785870-1.2.1.1-jVvUOvgVTTMsf4UKUUR0InIZip9p4LccCC6h_Ieit.Dq7JFfz_sDnddVgInjaE_z',cUPMDTk: "\/abstracts\/search?q=technique%20for%20order%20preference%20by%20similarity%20to%20an%20ideal%20solution%20%5BTOPSIS%5D&__cf_chl_tk=dwlXdkIae2IDV4D1WUIgKaznhYcmmm331pjFqtWFY3Y-1739785870-1.0.1.1-jbGEaJaMBKPAK49oVXaUGP03TRx5fkD_VNl3rvFekCY",cFPWv: 'b',cITimeS: '1739785870',cTTimeMs: '1000',cMTimeMs: '120000',cTplC: 0,cTplV: 5,cTplB: 'cf',cK: "",fa: "\/abstracts\/search?q=technique%20for%20order%20preference%20by%20similarity%20to%20an%20ideal%20solution%20%5BTOPSIS%5D&__cf_chl_f_tk=dwlXdkIae2IDV4D1WUIgKaznhYcmmm331pjFqtWFY3Y-1739785870-1.0.1.1-jbGEaJaMBKPAK49oVXaUGP03TRx5fkD_VNl3rvFekCY",md: "wNoTOudiBKACKZ4CeSVd0TxkUzJB2s8MgBwBPGHfbek-1739785870-1.2.1.1-6MSBej98E9yNfrNubkKVnMdfPYH.3FGTl4zPl1c.DEGgGhAU0m1vTwX.Y77P0bgwHM4XjGzAiMs8GO3JA_BPPjMmoQss6xQAzFNL8XCEH3vCs5h8RNXw1X9M.cEABD1_SVAZLebmIKXmvU44YJy9QBdm1rYDmLxQyEqDBSMCKjhElENkBdQ5p0Nn2hghUTgyZkpqbTIQ_EXVT0rAxwCrXFgXkGyDjlQd0A1PbeivHmsf.S7mHjdzrqYSPXXdtYfgCJFQI2JAzdPCsxZ2kFDWjbDNLv_wCsU3HTEgqrDdZPlaC7HMwyPU0k_WtQTep0hLsDomnyBPiCfvlCQzB3wGLazfVI4kZqGshW.eDwEdDlKPjtq5MvJNmuKNMioPZgmuQ8p4INTmpArZ5.BN9J11CMDnGgKPRJyvEAw.d_qkDy_0dTmq785x6LyRdmXu0E5aaqiMNJ.i4zxDloxuIb7qLsTtPnnidLwuoU3sMJAoKjNrdG4yNafV6vHhfc82Kgx1JXPWlzSY2_R74eCGrTYSBT0N9BOh43JexcyLR9D2nxPwbrdmeoAktI0zw9TUyzGEyPQ36h5SjbzzgyShENlsfESGTar2zRhD_TR8R1l18YnhmjKLKnUhNN_rI_99Mh21.5.J3OeE8nrY6faSqFHSAT4KNxAsaFjc6Ll.IgQTDvJV58u93TQ65IlD1hyOK8ZS2ThAm.v_aVnzHm8eLnNPxyfaDVVTGyauyffFx8WP6lMc04_V09RPPsk_VU1rPSF4Bh.8RNsw_LVJrHqpf3GE_pQBNgd4aPQ9cndBRKC6E6dqgub5eZ5IUmnyE3jpuY.U7mlKpb0n0dH3VSbHbAAhYbDy2pL578PqcYE7U5AYLbFAiICsccoSoJxWWKj_4VU3DEgTsJuki7hNtGnuP0qPaIQcKLUeGUu75E5Asilq8V3DKPHhS3NCtmJkLsMHED5l4aAa5ho0rfaUWW71t_6NNMKf7lcDxq7GJUWOTwoF43j0JDJjSx2AqJQbxLgDJCjrX3bUClvFqJ8zi.pyu01ts3TbMZq_d1tUxewde1YO45WylcJyrGpyYIluix3q7ItoXTrKiUjg1y14qaSc6VDFn2esNqFmLNlnysXcePUB7nLpzwMnrcDtsST9rTYgpsE.T95aexaVo6SAUu9nu4m2JRk6BwScFpdWaoBKoUhOlrH3rCb0krPcZVt2.vaQqpwMu83Olty7ZzyXmg3aqZGDHGO7lI8Mo5FFhOzron3DA3cGaGDDriv506pYDLwLyvs.uHAz6dVqqSBLH98kbev7bvNYDF4cmLjmSyLgTS7e7F4dpjrKGKF80L.Ph3PrhkkJQOgERD1irqx.Fgc5YJX94kP03fYjXagUYo72WtKOuPQiX79xa5HXf4.v2Nz_EdFjzSSfGBeXub3D4dW9fgdaYdJKs_ONIuPHBF5PP5zxq0Os1Twr3AEmt7WJ9NkV8ZAO16RgZK82fzJGExRCX2.N0f8_Hfq7s5L6viUfofRAMZg7XeSrT6nXOLNmmcPZTCph6pqOCKlmSv6vWQ9pdldbf1p4JLRP7bc6oyPZk92pA9iRtP7BtqPdx9LnW_cksV8OaPHhB2dKYd6pIgC3xpN5AlBu45Ky_S_aP6ed_StYUiFDALc4gQIOjju2SuQksjEAS3unJ4c44Uz_f1eay7b54g_MPDZ_z3g6qeOJj1rGWQulmcz1blZ38RmawnK98WMuH8mPTzjtgXSRZXurOMNPPoieHjAJrGg0LyLwUkeefxTviPQmojt6NGWfc3Eb4Yry6T4ReQnRbdVjoKeiBuJS4hXUDF9H823Uljv6wvq.6l_3O9kSVoC6y5HMwuXQYRkzezd.7bZqpbIsPCLHPVWg_OIFdPwUNLoSm5L.jIRkJk3e.9ii59GbJ0oiQAu_PxgUHxOE12c5VlqU3XhRJbr9bWRnlhdNeSj5gmn8R7vxPE3h1HdigctCCr8lNHXpFU8Q4.Ys1fLmQCS685JQyMMs9w8YAGbbaWkuwO603cCcqltZPryQ1Mgu45Rfzyv2ry4acoSx91WJhoQ9PM7kxDza0.w1Ri3MUPOW4LuCQfI8Ypo4MhMUp7OTYbCDCqkVF1yTwTvT5YlLJG6AoYoxRsuJj4aPsbRRBWm2RYmeOmVtQy3.pV8O2pm6CaoZrTEe3Eci",mdrd: "QCpWm.xh_8cCDPKzQfIjhNmtNmFxqUlzaCGGm51jscw-1739785870-1.2.1.1-mWgYebGWYcsYCIs0PHrzI0us5dU6wtpMdGe5UECrkDMK4flG6e9AiK0ebU48.7SWHzssk1ppO1j6FBb9Lew_MgJEetggcBUkwiz5lGf5g.nhkFNpLI1tWq999vcIWnHnVUOMEcjPGNpte8YH41PlDStVRhfA10j0jc4N_ADvqrst2QSuguPo9MUXNqgbx.lTJ1S5fYdlPvJ1s4_iSGPdMwk3GMcIOrKyLddGcr76k6GqTBmcei8jTN66KKY48l0YNKD_R.UrHN.7YhGrbChIa9_k.W7mbdpw2MFwyjxscYDYd1ys6J25cLN45R70oAtG7fh0RBWhzpmHjtYyRAOo7j1yjPNTsgn0rJ9qow42oF4uCzJfvgtQKE.VKP5eECGazgVNKHqRQsMov2VvYhoffW6CZ53OxZHAvXqrfGrH5DGdEBq7Ed5QC3txleoTQAu_mPanRXX06UqKOa5M7pcPAXifBCG04SBpAn72JbQ3vi9OtdAvhJwgashvPj1Q0hyHEAD94HYnE88fto5CszBRhiEKgUar4qHFTmEqhPbr8bnzGr36IDXd2qlsLvOnHW0fMAOvsm.PAG_wKYncy97AqpcXrOwP0BPFn_6i0kY7frnNu3Psyr7.z7g3rjrd5PhHaSNykDRXr54duA1tHZgaSQiCQN8OMvgYN6GPCrwNBDvV0o8uMz.Nu8j.9uOPFF_cZRbqVF7q.WhdRlQ0o5IdUOdHlEOXwhbfNr8.nxQhmdGfSQB9rRyb0KkvTvw9atCmOdGaloR2brtd7EjxzTLIolfAbymczQnGMXtr0onaTus7yc6cgAsfPla6mY8MJ3Nh61BClLEcYZgUafu.jeti7ELDUsfGak2kMdgSWyX8ki7iwj0lg99kbfey8Lwsm10nwGC6tQlShk_mNLOykh7F3wMNApAUkv2s.S3rl2m_Kczjt1Vj2OmEQvB0O5BwSAY6m8x9qbUvHPidh_3NB1DTzodhXrL2DNFD9Ay9UUZSx4j6HwwRyIVvIb1E4HYKDRqMdHti3uBhcCe52dPME09gX7eJzryuEKs2uOAVKX3XXmELtdMUOphx4H3szGhbwB46n22XREyaJYNzbBp2L0.lqXahM0R4TgNJ.QfZdJUzmzAFkc4.2nZo_fsPlEvHdvsmgahSD.ptV7UMpTYaWLVJWkJnQKBbsB.qs416EAH0TpzqOTsWCmQ_V2nVlcvudClslvUwYVdhTX0hV9.TW_CW_fuVMrV79uk4v_qNXw8CN_VWy0cTs5e2VcpWPCxuB.RDMmEs2KMBHAmLpgonNalKsiA96i6ypT5NlfPPxO4MdcCbdph0o80VJnz8r4B1H_dcfK.RPBgAD2JuDq2Qs3h7Dk1t09rT8Ve7.hI1iRpN797dtVN.hNwUo2SlSftZJRtXC.P_1kMsS9Duz6NymhsEajsL8y.ZUIYCGLa0wnYkYkjk7.jjNUuDVm1dGgZDouLMpmqofOVLqpLLHRliZpRqQQzMK9muO6TjyBnBdhy7gATSzfDuW7uOyvyGcrSOoPkxxBYij9oan0tIJJhOfFk49y5X244ZyUL9o0ysgXRFZqK0xdBNuu6EALLbHUJUbOQDyujz_sziHaDYveK8xNYNMSIzXawIY25jiSXRvyv39F0iHmamug9mj1AhKqS.XNM68WUdsfDxUiEyLhB3VjBtF3PpC8X4JRezL9_RJfjAjC7JFjpd2j5mRnOd4o7Llffq3MEQpkR8HC8IJGb4NkdB_h7S_UB1y7kQAGjo.Zcx0QP6tC8jFIbdUyEf45DRbgU0f52c4m6ts.Gpq7Ix8gAoKlod7uX7iQCJLpbnnLUKUe8_Uj4wB_3algRezwC98XkeO.bU20pxv4C8tUu1tqJFP4KYSWkKSSN9rrJH35tQz2ZUBJZO44_euscjPWw5Ab_5F9kJswLogyN0SvsLsk32EP5GR69FNgqlZ0I3Ofmg2L0E_n71CFhj5sS4nEHP0_sGdYltbG_oheXr9o_6Un60sQ"};var cpo = document.createElement('script');cpo.src = '/cdn-cgi/challenge-platform/h/b/orchestrate/chl_page/v1?ray=9134e09878e281ba';window._cf_chl_opt.cOgUHash = location.hash === '' && location.href.indexOf('#') !== -1 ? '#' : location.hash;window._cf_chl_opt.cOgUQuery = location.search === '' && location.href.slice(0, location.href.length - window._cf_chl_opt.cOgUHash.length).indexOf('?') !== -1 ? '?' : location.search;if (window.history && window.history.replaceState) {var ogU = location.pathname + window._cf_chl_opt.cOgUQuery + window._cf_chl_opt.cOgUHash;history.replaceState(null, null, "\/abstracts\/search?q=technique%20for%20order%20preference%20by%20similarity%20to%20an%20ideal%20solution%20%5BTOPSIS%5D&__cf_chl_rt_tk=dwlXdkIae2IDV4D1WUIgKaznhYcmmm331pjFqtWFY3Y-1739785870-1.0.1.1-jbGEaJaMBKPAK49oVXaUGP03TRx5fkD_VNl3rvFekCY" + window._cf_chl_opt.cOgUHash);cpo.onload = function() {history.replaceState(null, null, ogU);}}document.getElementsByTagName('head')[0].appendChild(cpo);}());</script></body></html>