in this paper, we define the concepts of a complex fuzzy subset and a complex fuzzy finite state automaton. then we extend the notion of a complex fuzzy finite state automaton and introduce the notion of a general complex fuzzy automaton. after that we define the concept of a max- min general complex fuzzy automaton and construct some equivalence relations and some congruence relations in a max...

in this paper we determine the sequences of join spaces and atanassov's intuitionistic fuzzy sets associated with all i.p.s. hypergroups of order less than or equal to 6, focusing on the calculation of their lengths.

In this paper, we introduce the notion of Pythagorean Anti fuzzy graph. We then define Cartesian product and Lexicographic on It is proved that two graphs graph general, lexicographic regular need not be Necessary sufficient conditions for to are determined. Further, concept isomorphism with suitable example.

The new emerged infectious disease that is known the coronavirus (COVID-19), which a high contagious viral infection started in December 2019 China city Wuhan and spread very fast to rest of world. This caused millions infected cases globally still poses an alarming situation for human lives. Pakistan Asian countries considered third country with higher number more than 649824. Recently, some m...

A Pythagorean fuzzy set is the superset of and intuitionistic sets, respectively. Yager proposed concept sets in which he relaxed condition that sum square both membership degree nonmembership an element a must not be greater than 1. This paper introduces two new techniques to solve L R -type fully linear progra...

jahanshahloo has suggested a method for the solving linear programming problems with zero-one variables‎. ‎in this paper we formulate fully fuzzy linear programming problems with zero-one variables and a method for solving these problems is presented using the ranking function and also the branch and bound method along with an example is presented.

let $(x, n)$ be a fuzzy normed space and $a$ be a fuzzy boundedsubset of $x$.  we define fuzzy $ell^infty$-sums and fuzzy $c_0$-sums offuzzy normed spaces. then we will show that in these spaces, all  fuzzyuniquely remotal sets are singletons.

A prime Pythagorean triangle has three integer sides of which the hypotenuse and one leg are primes. In this article we investigate their properties and distribution. We are also interested in finding chains of such triangles, where the hypotenuse of one triangle is the leg of the next in the sequence. We exhibit a chain of seven prime Pythagorean triangles and we include a brief discussion of ...

The diagnosed complex Pythagorean fuzzy (CPF) set is a more valuable and dominant tool than the intuitionistic sets to describe awkward unreliable information effectively. Further, Archimedean t-norm t-conorm have significant influence depict relation among aggregated values. To take advantage of CPF t-conorm, assume norms algebraic, Einstein, Hamacher, frank at same time, in this analysis, fir...