New types of hesitant fuzzy soft ideals in BCK-algebras

Hesitant Fuzzy Soft Combined Compromise Solution Method for IoE Companies’ Evaluation

“…Remark 2 From Table 9, we can see that the best IoE company (x 2 ) derived by the developed approach is in agreement with the decision results calculated by Babitha and John [28], Zhou et al [39], Das and Kar (HFSWG) [30], Wang et al (GHFSWG) [31], Beg and Rashid [40], Wu and Zhou (GHFSWG) [32], Alshehri et al [45], Zhang et al [41], Rezaei and Rezaei [35], Peng and Dai (WAS-PAS,MABAC) [43], and Peng and Li (r-HFWA,r-HFWG,WDBA,CODAS) [34]. Nevertheless, with respect Babitha and John [28] x 1 1 x 2 1 x 3 1 x 4 1 x 5 x 1 Wang et al [38] x 1 1 x 2 1 x 3 1 x 4 1 x 5 x 1 Zhou et al [39] x 1 1 x 2 1 x 3 1 x 4 1 x 5 x 1 Das and Kar (HFSWA) [30] x 1 1 x 2 1 x 3 1 x 4 1 x 5 x 1 Das and Kar (HFSWG) [30] x 1 1 x 2 1 x 3 1 x 4 1 x 5 x 1 Wang et al (GHFSWA) [31] x 1 1 x 2 1 x 3 1 x 4 1 x 5 x 1 Wang et al (GHFSWG) [31] x 1 1 x 2 1 x 3 1 x 4 1 x 5 x 1 Beg and Rashid [40] x 1 1 x 2 1 x 3 1 x 4 1 x 5…”

“…Remark 3 From Table 11, we can find that the optimal IoE company (x 1 ) derived by the developed method is in agreement with the decision results calculated by Babitha and John [28], Wang et al [38], Zhou et al [39], Das and Kar (HFSWA) [30], Wang et al (GHFSWA) [31], Beg and Rashid [40], Wu and Zhou (GHFSWA) [32], Singh and Lalotra [37], Alshehri et al [45], Zhang et al [41], Rezaei and Rezaei [35], Peng and Dai (WASPAS,MABAC) [43], and Peng and Li (r-HFWA,r-HFWG,WDBA,CODAS) [34]. Nevertheless, with respect to MCDM methods (Das and Kar (HFSWG) [30], Wang et al (GHFSWG) [31], Wu and Zhou (GHFSWG) [32] based on hesitant fuzzy softweighted geometric operators, their optimal IoE company (x 2 ) is different from the proposed method and other diacritical MCDM methods.…”

“…To further state the availability and the outstanding advantages of the presented method, we provide some examples by utilizing some existing hesitant fuzzy soft decision-making approaches (Babitha and John [28], Wang et al [38], Zhou et al [39], Das and Kar [30], Wang et al [31], Beg and Rashid [40], Wu and Zhou [32], Fu and Pi (CIHFSSEWA) [33], Singh and Lalotra [37], Zhang and He [42], Alshehri et al [45], Zhang et al [41], Rezaei and Rezaei [35], Peng and Dai [43], and Peng and Li [34]).…”

“…x 1 ; x 2 ; x 3 ; x 4 Zhang and He (a ¼ 0:9) [42] x 1 1 fx 2 ; x 3 ; x 4 ; x 5 g x 1 Alshehri et al [45] x 1 1 x 2 1 x 3 1 x 4 1 x 5 x 1 Zhang et al [41] x 1 1 x 2 1 x 3 1 x 4 1 x 5…”

Certain Concepts of Q -Hesitant Fuzzy Ideals

“…Jun and Ahn [6] investigated the concept of hesitant fuzzy subalgebras and HFIs of BCK/BCI -algebras. In 2018, Alshehri et al [10] put forward the concept of new types of HFIs in BCK-algebras. As a continuation of this study, we describe certain concepts, including Q-HFIs andQ -hesitant fuzzy commutative ideals in BCK-algebras.…”