Algebra of Fuzzy Numbers with a Unimodal Membership Function

被引：0
作者：
I. V. Germashev
E. V. Derbisher
V. E. Derbisher
A. V. Kartashova
A. V. Titov
机构：
[1] Volgograd State University,
[2] Volgograd State Technical University,undefined
[3] Volgograd State Socio Pedagogical University,undefined
来源：
Vestnik St. Petersburg University, Mathematics | 2022年 / 55卷
关键词：
algebra; fuzzy numbers; arithmetic operations; associativity; distributivity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
引用
收藏
页码：380 / 388
页数：8
相关论文
共 27 条
  • [1] Germashev I. V.(2001)Fuzzy optimization of polymer compositions Theor. Found. Chem. Eng. 35 418-421
  • [2] Derbisher V. E.(2018)Convergence of series of fuzzy numbers with unimodal membership function Mat. Fiz. Komp’yut. Model. 21 11-17
  • [3] Germashev I. V.(1978)Operations on fuzzy numbers Int. J. Syst. Sci. 9 613-626
  • [4] Derbisher E. V.(1997)Operations on fuzzy numbers via fuzzy reasoning Fuzzy Sets Syst. 91 137-142
  • [5] Derbisher V. E.(2015)Elementary operations on L-R fuzzy number Adv. Pure Math. 5 131-136
  • [6] Kulikova N. Yu.(2001)Computational aspects of fuzzy arithmetics based on Archimedean t-norms Fuzzy Sets Syst. 123 49-62
  • [7] Dubois D.(2005)Approximate fuzzy arithmetic operations using monotonic interpolations Fuzzy Sets Syst. 150 5-33
  • [8] Prade H.(2016)Arithmetic of fuzzy numbers in generalized trapezoidal form J. Math. Sci. 216 696-701
  • [9] Filev D. P.(2015)Multiplicatively idempotent semirings J. Math. Sci. 206 634-653
  • [10] Yager R. R.(1992)A note on inverses in arithmetic with fuzzy numbers Fuzzy Sets Syst. 50 267-278
123