论文信息 - Hesitant fuzzy sets applied to BCK/BCI-algebras

Hesitant fuzzy sets applied to BCK/BCI-algebras

We define a hesitant fuzzy BCK/BCI-algebra and obtain some of its properties. Next, we introduce the concept of hesitant fuzzy ideal and obtain some of its properties and give some examples. Finally, we define a hesitant fuzzy positive implicative ideal, a hesitant fuzzy implicative ideal, a hesitant fuzzy commutative ideal and investigate some of its properties, respectively and their relations. In particular, we give characterizations of hesitant fuzzy positive implicative ideal, a hesitant fuzzy implicative ideal and a hesitant fuzzy commutative ideal, respectively. 2010 AMS Classification: 06F35, 03G25, 03E72

Kul Hur | Jeonggon Lee | Jun Hui Kim | 임평기

[1] K. S. Ravichandran,et al. A scientific decision-making framework for supplier outsourcing using hesitant fuzzy information , 2018, Soft Comput..

[2] Zheng Pei,et al. A note on operations of hesitant fuzzy sets , 2015, Int. J. Comput. Intell. Syst..

[3] V. Torra,et al. A framework for linguistic logic programming , 2010 .

[4] Zeshui Xu,et al. Hesitant fuzzy information aggregation in decision making , 2011, Int. J. Approx. Reason..

[5] K. Iseki,et al. AN INTRODUCTION TO THE THEORY OF THE BCK-ALGEBRAS , 1978 .

[7] K. Iseki. On BCI-Algebras , 1980 .

[8] Arsham Borumand Saeid,et al. Hesitant Fuzzy Filters in BE-algebras , 2016, Int. J. Comput. Intell. Syst..