The notion of S-fuzzy left h-ideals in a hemiring is introduced and it’s basic properties are investigated.We also study the homomorphic image and preimage of S-fuzzy left h-ideal of hemirings.Using a collection of left h-ideals of a hemiring, S-fuzzy left h-ideal of hemirings are established.The notion of a finitevalued S-fuzzy left h-ideal is introduced,and its characterization is given.S-fuz...

Abstract The complex q-rung orthopair fuzzy (CQ-ROF) set can describe the uncertain information. In this manuscript, we develop Yager operational laws based on CQ-ROF information and t-norm t-conorm. Furthermore, in aggregating values, power, averaging, geometric aggregation operators have played a very essential critical role environment of set. Inspired from discussed operators, propose power...

We are interested in generalizations of the concepts of t-norm and t-conorm. In a companion chapter in this volume [14] we have presented a family of hypert-norms ∧q and a family of hyper-t-conorms ∨p. The prefix hyper is used to indicate multi-valued operations, also known as hyperoperations (see [5, 14]), i.e. operations which map pairs of elements to sets of elements. See [14] for the constr...

We make a probabilistic analysis related to some inference rules which play an important role in nonmonotonic reasoning. In a coherence-based setting, we study the extensions of a probability assessment defined on n conditional events to their quasi conjunction, and by exploiting duality, to their quasi disjunction. The lower and upper bounds coincide with some well known t-norms and t-conorms:...

Aggregation operators (AOs) are utilized to overcome the influence of uncertain and vague information in different fuzzy environments. A multi-attribute decision-making (MADM) technique plays a vital role several fields environments such as networking analysis, risk assessment, cognitive science, recommender systems, signal processing, many more domains ambiguous circumstances. In this article,...

In order to be able make a good decision, we need evaluate the uncertainty information of multiple attributes different alternatives that obey normal distribution, and interrelationship among should considered in process evaluating. This paper aims propose new attribute decision-making (MADM) method, which uses aggregation operator distribution comprehensively. We firstly extended Schweizer-Skl...

Since existing selection methods of surgical treatment schemes renal cancer patients mainly depend on physicians’ clinical experience and judgments, the options lack their scientifical reasonable information expression group decision-making model for patients. Fuzzy multi-sets (FMSs) have a number properties, which make them suitable expressing uncertain medical diagnoses treatments in (GDM) pr...

The theory of Schauder hats is a beautiful and powerful tool for investigating, under several respects, the algebraic semantics of Łukasiewicz infinite-valued logic [CDM99], [MMM07], [Mun94], [P95]. As a notably application of the theory, the elements of the free n-generated MV-algebra, that constitutes the algebraic semantics of the n-variate fragment of Łukasiewicz logic, are obtained as (t-c...

The principle of a complex interval-valued Pythagorean fuzzy set (CIVPFS) is valuable procedure to manage inconsistent and awkward information genuine life troubles. CIVPFS mixture the two separated theories such as which covers truth grade (TG) falsity (FG) in form number whose real unreal parts are sub-interval unit interval. superiority that sum square upper part (also for an part) duplet re...